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Finding the Fourth Proportional to 924.21, 1,275.09 and 592.82

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Solution

The fourth proportional to 924.21, 1,275.09 and 592.82 is: 817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.21 : 1,275.09 = 592.82 : x
  2. Step 2: Convert to fraction form
    924.21/1,275.09 = 592.82/x
  3. Step 3: Cross multiply
    924.21x = 1,275.09 × 592.82
  4. Step 4: Simplify right side
    924.21x = 755,898.85
  5. Step 5: Solve for x
    x = 755,898.85/924.21
  6. Step 6: Final answer
    x = 817.89

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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.