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Finding the Fourth Proportional to 1,061.91, 1,465.12 and 642.50

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Solution

The fourth proportional to 1,061.91, 1,465.12 and 642.50 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.91 : 1,465.12 = 642.50 : x
  2. Step 2: Convert to fraction form
    1,061.91/1,465.12 = 642.50/x
  3. Step 3: Cross multiply
    1,061.91x = 1,465.12 × 642.50
  4. Step 4: Simplify right side
    1,061.91x = 941,338.57
  5. Step 5: Solve for x
    x = 941,338.57/1,061.91
  6. Step 6: Final answer
    x = 886.46

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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.