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Finding the Fourth Proportional to 1,061.77, 1,464.91 and 613.58

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Solution

The fourth proportional to 1,061.77, 1,464.91 and 613.58 is: 846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.77 : 1,464.91 = 613.58 : x
  2. Step 2: Convert to fraction form
    1,061.77/1,464.91 = 613.58/x
  3. Step 3: Cross multiply
    1,061.77x = 1,464.91 × 613.58
  4. Step 4: Simplify right side
    1,061.77x = 898,839.48
  5. Step 5: Solve for x
    x = 898,839.48/1,061.77
  6. Step 6: Final answer
    x = 846.55

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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.