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Finding the Fourth Proportional to 687.40, 1,030.38 and 470.20

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Solution

The fourth proportional to 687.40, 1,030.38 and 470.20 is: 704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.40 : 1,030.38 = 470.20 : x
  2. Step 2: Convert to fraction form
    687.40/1,030.38 = 470.20/x
  3. Step 3: Cross multiply
    687.40x = 1,030.38 × 470.20
  4. Step 4: Simplify right side
    687.40x = 484,484.68
  5. Step 5: Solve for x
    x = 484,484.68/687.40
  6. Step 6: Final answer
    x = 704.81

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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.