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Finding the Fourth Proportional to 956.58, 1,436.19 and 494.70

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Solution

The fourth proportional to 956.58, 1,436.19 and 494.70 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.58 : 1,436.19 = 494.70 : x
  2. Step 2: Convert to fraction form
    956.58/1,436.19 = 494.70/x
  3. Step 3: Cross multiply
    956.58x = 1,436.19 × 494.70
  4. Step 4: Simplify right side
    956.58x = 710,483.19
  5. Step 5: Solve for x
    x = 710,483.19/956.58
  6. Step 6: Final answer
    x = 742.73

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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.