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Finding the Fourth Proportional to 924.13, 1,275.52 and 609.45

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Solution

The fourth proportional to 924.13, 1,275.52 and 609.45 is: 841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.13 : 1,275.52 = 609.45 : x
  2. Step 2: Convert to fraction form
    924.13/1,275.52 = 609.45/x
  3. Step 3: Cross multiply
    924.13x = 1,275.52 × 609.45
  4. Step 4: Simplify right side
    924.13x = 777,367.33
  5. Step 5: Solve for x
    x = 777,367.33/924.13
  6. Step 6: Final answer
    x = 841.19

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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.