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Finding the Fourth Proportional to 645.71, 972.18 and 569.16

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Solution

The fourth proportional to 645.71, 972.18 and 569.16 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 972.18 = 569.16 : x
  2. Step 2: Convert to fraction form
    645.71/972.18 = 569.16/x
  3. Step 3: Cross multiply
    645.71x = 972.18 × 569.16
  4. Step 4: Simplify right side
    645.71x = 553,325.97
  5. Step 5: Solve for x
    x = 553,325.97/645.71
  6. Step 6: Final answer
    x = 856.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.