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Finding the Fourth Proportional to 932.01, 1,285.81 and 577.81

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Solution

The fourth proportional to 932.01, 1,285.81 and 577.81 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.01 : 1,285.81 = 577.81 : x
  2. Step 2: Convert to fraction form
    932.01/1,285.81 = 577.81/x
  3. Step 3: Cross multiply
    932.01x = 1,285.81 × 577.81
  4. Step 4: Simplify right side
    932.01x = 742,953.88
  5. Step 5: Solve for x
    x = 742,953.88/932.01
  6. Step 6: Final answer
    x = 797.15

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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.