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Finding the Fourth Proportional to 924.61, 1,275.91 and 526.20

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Solution

The fourth proportional to 924.61, 1,275.91 and 526.20 is: 726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.61 : 1,275.91 = 526.20 : x
  2. Step 2: Convert to fraction form
    924.61/1,275.91 = 526.20/x
  3. Step 3: Cross multiply
    924.61x = 1,275.91 × 526.20
  4. Step 4: Simplify right side
    924.61x = 671,387.37
  5. Step 5: Solve for x
    x = 671,387.37/924.61
  6. Step 6: Final answer
    x = 726.13

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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.