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Finding the Fourth Proportional to 709.93, 1,064.90 and 466.80

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Solution

The fourth proportional to 709.93, 1,064.90 and 466.80 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.93 : 1,064.90 = 466.80 : x
  2. Step 2: Convert to fraction form
    709.93/1,064.90 = 466.80/x
  3. Step 3: Cross multiply
    709.93x = 1,064.90 × 466.80
  4. Step 4: Simplify right side
    709.93x = 497,095.32
  5. Step 5: Solve for x
    x = 497,095.32/709.93
  6. Step 6: Final answer
    x = 700.20

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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.