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Finding the Fourth Proportional to 832.71, 1,248.93 and 484.95

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Solution

The fourth proportional to 832.71, 1,248.93 and 484.95 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.71 : 1,248.93 = 484.95 : x
  2. Step 2: Convert to fraction form
    832.71/1,248.93 = 484.95/x
  3. Step 3: Cross multiply
    832.71x = 1,248.93 × 484.95
  4. Step 4: Simplify right side
    832.71x = 605,668.60
  5. Step 5: Solve for x
    x = 605,668.60/832.71
  6. Step 6: Final answer
    x = 727.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.