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Finding the Fourth Proportional to 1,061.18, 1,464.50 and 589.13

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Solution

The fourth proportional to 1,061.18, 1,464.50 and 589.13 is: 813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.18 : 1,464.50 = 589.13 : x
  2. Step 2: Convert to fraction form
    1,061.18/1,464.50 = 589.13/x
  3. Step 3: Cross multiply
    1,061.18x = 1,464.50 × 589.13
  4. Step 4: Simplify right side
    1,061.18x = 862,780.89
  5. Step 5: Solve for x
    x = 862,780.89/1,061.18
  6. Step 6: Final answer
    x = 813.04

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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.