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Finding the Fourth Proportional to 712.52, 981.74 and 515.69

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Solution

The fourth proportional to 712.52, 981.74 and 515.69 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 981.74 = 515.69 : x
  2. Step 2: Convert to fraction form
    712.52/981.74 = 515.69/x
  3. Step 3: Cross multiply
    712.52x = 981.74 × 515.69
  4. Step 4: Simplify right side
    712.52x = 506,268.59
  5. Step 5: Solve for x
    x = 506,268.59/712.52
  6. Step 6: Final answer
    x = 710.54

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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.