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Finding the Fourth Proportional to 839.61, 1,258.29 and 473.85

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Solution

The fourth proportional to 839.61, 1,258.29 and 473.85 is: 710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.61 : 1,258.29 = 473.85 : x
  2. Step 2: Convert to fraction form
    839.61/1,258.29 = 473.85/x
  3. Step 3: Cross multiply
    839.61x = 1,258.29 × 473.85
  4. Step 4: Simplify right side
    839.61x = 596,240.72
  5. Step 5: Solve for x
    x = 596,240.72/839.61
  6. Step 6: Final answer
    x = 710.14

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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.