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Finding the Fourth Proportional to 832.47, 1,248.39 and 485.93

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Solution

The fourth proportional to 832.47, 1,248.39 and 485.93 is: 728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.47 : 1,248.39 = 485.93 : x
  2. Step 2: Convert to fraction form
    832.47/1,248.39 = 485.93/x
  3. Step 3: Cross multiply
    832.47x = 1,248.39 × 485.93
  4. Step 4: Simplify right side
    832.47x = 606,623.91
  5. Step 5: Solve for x
    x = 606,623.91/832.47
  6. Step 6: Final answer
    x = 728.70

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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.