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Finding the Fourth Proportional to 713.60, 1,071.42 and 406.07

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Solution

The fourth proportional to 713.60, 1,071.42 and 406.07 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 1,071.42 = 406.07 : x
  2. Step 2: Convert to fraction form
    713.60/1,071.42 = 406.07/x
  3. Step 3: Cross multiply
    713.60x = 1,071.42 × 406.07
  4. Step 4: Simplify right side
    713.60x = 435,064.13
  5. Step 5: Solve for x
    x = 435,064.13/713.60
  6. Step 6: Final answer
    x = 609.68

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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.