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Finding the Fourth Proportional to 707.52, 977.12 and 577.92

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Solution

The fourth proportional to 707.52, 977.12 and 577.92 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.52 : 977.12 = 577.92 : x
  2. Step 2: Convert to fraction form
    707.52/977.12 = 577.92/x
  3. Step 3: Cross multiply
    707.52x = 977.12 × 577.92
  4. Step 4: Simplify right side
    707.52x = 564,697.19
  5. Step 5: Solve for x
    x = 564,697.19/707.52
  6. Step 6: Final answer
    x = 798.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.