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Finding the Fourth Proportional to 710.86, 981.12 and 532.30

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Solution

The fourth proportional to 710.86, 981.12 and 532.30 is: 734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 981.12 = 532.30 : x
  2. Step 2: Convert to fraction form
    710.86/981.12 = 532.30/x
  3. Step 3: Cross multiply
    710.86x = 981.12 × 532.30
  4. Step 4: Simplify right side
    710.86x = 522,250.18
  5. Step 5: Solve for x
    x = 522,250.18/710.86
  6. Step 6: Final answer
    x = 734.67

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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.