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Finding the Fourth Proportional to 708.77, 977.64 and 529.17

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Solution

The fourth proportional to 708.77, 977.64 and 529.17 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 977.64 = 529.17 : x
  2. Step 2: Convert to fraction form
    708.77/977.64 = 529.17/x
  3. Step 3: Cross multiply
    708.77x = 977.64 × 529.17
  4. Step 4: Simplify right side
    708.77x = 517,337.76
  5. Step 5: Solve for x
    x = 517,337.76/708.77
  6. Step 6: Final answer
    x = 729.91

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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.