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Finding the Fourth Proportional to 1,065.49, 1,470.42 and 645.71

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Solution

The fourth proportional to 1,065.49, 1,470.42 and 645.71 is: 891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.49 : 1,470.42 = 645.71 : x
  2. Step 2: Convert to fraction form
    1,065.49/1,470.42 = 645.71/x
  3. Step 3: Cross multiply
    1,065.49x = 1,470.42 × 645.71
  4. Step 4: Simplify right side
    1,065.49x = 949,457.55
  5. Step 5: Solve for x
    x = 949,457.55/1,065.49
  6. Step 6: Final answer
    x = 891.10

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