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Finding the Fourth Proportional to 920.67, 1,270.14 and 570.75

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Solution

The fourth proportional to 920.67, 1,270.14 and 570.75 is: 787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.67 : 1,270.14 = 570.75 : x
  2. Step 2: Convert to fraction form
    920.67/1,270.14 = 570.75/x
  3. Step 3: Cross multiply
    920.67x = 1,270.14 × 570.75
  4. Step 4: Simplify right side
    920.67x = 724,932.41
  5. Step 5: Solve for x
    x = 724,932.41/920.67
  6. Step 6: Final answer
    x = 787.40

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.