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Finding the Fourth Proportional to 1,061.52, 1,464.93 and 613.48

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Solution

The fourth proportional to 1,061.52, 1,464.93 and 613.48 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.52 : 1,464.93 = 613.48 : x
  2. Step 2: Convert to fraction form
    1,061.52/1,464.93 = 613.48/x
  3. Step 3: Cross multiply
    1,061.52x = 1,464.93 × 613.48
  4. Step 4: Simplify right side
    1,061.52x = 898,701.59
  5. Step 5: Solve for x
    x = 898,701.59/1,061.52
  6. Step 6: Final answer
    x = 846.62

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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.