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Finding the Fourth Proportional to 1,035.34, 1,428.75 and 569.58

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Solution

The fourth proportional to 1,035.34, 1,428.75 and 569.58 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.34 : 1,428.75 = 569.58 : x
  2. Step 2: Convert to fraction form
    1,035.34/1,428.75 = 569.58/x
  3. Step 3: Cross multiply
    1,035.34x = 1,428.75 × 569.58
  4. Step 4: Simplify right side
    1,035.34x = 813,787.43
  5. Step 5: Solve for x
    x = 813,787.43/1,035.34
  6. Step 6: Final answer
    x = 786.01

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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.