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Finding the Fourth Proportional to 1,061.89, 1,465.56 and 642.29

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Solution

The fourth proportional to 1,061.89, 1,465.56 and 642.29 is: 886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.89 : 1,465.56 = 642.29 : x
  2. Step 2: Convert to fraction form
    1,061.89/1,465.56 = 642.29/x
  3. Step 3: Cross multiply
    1,061.89x = 1,465.56 × 642.29
  4. Step 4: Simplify right side
    1,061.89x = 941,314.53
  5. Step 5: Solve for x
    x = 941,314.53/1,061.89
  6. Step 6: Final answer
    x = 886.45

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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.