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Finding the Fourth Proportional to 713.66, 1,064.73 and 609.74

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Solution

The fourth proportional to 713.66, 1,064.73 and 609.74 is: 909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 1,064.73 = 609.74 : x
  2. Step 2: Convert to fraction form
    713.66/1,064.73 = 609.74/x
  3. Step 3: Cross multiply
    713.66x = 1,064.73 × 609.74
  4. Step 4: Simplify right side
    713.66x = 649,205.42
  5. Step 5: Solve for x
    x = 649,205.42/713.66
  6. Step 6: Final answer
    x = 909.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.