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Finding the Fourth Proportional to 923.67, 1,274.81 and 530.75

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Solution

The fourth proportional to 923.67, 1,274.81 and 530.75 is: 732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.67 : 1,274.81 = 530.75 : x
  2. Step 2: Convert to fraction form
    923.67/1,274.81 = 530.75/x
  3. Step 3: Cross multiply
    923.67x = 1,274.81 × 530.75
  4. Step 4: Simplify right side
    923.67x = 676,605.94
  5. Step 5: Solve for x
    x = 676,605.94/923.67
  6. Step 6: Final answer
    x = 732.52

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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.