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Finding the Fourth Proportional to 1,470.90, 2,029.88 and 807.76

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Solution

The fourth proportional to 1,470.90, 2,029.88 and 807.76 is: 1,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.90 : 2,029.88 = 807.76 : x
  2. Step 2: Convert to fraction form
    1,470.90/2,029.88 = 807.76/x
  3. Step 3: Cross multiply
    1,470.90x = 2,029.88 × 807.76
  4. Step 4: Simplify right side
    1,470.90x = 1,639,655.87
  5. Step 5: Solve for x
    x = 1,639,655.87/1,470.90
  6. Step 6: Final answer
    x = 1,114.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.