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Finding the Fourth Proportional to 1,479.54, 2,220.39 and 710.58

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Solution

The fourth proportional to 1,479.54, 2,220.39 and 710.58 is: 1,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.54 : 2,220.39 = 710.58 : x
  2. Step 2: Convert to fraction form
    1,479.54/2,220.39 = 710.58/x
  3. Step 3: Cross multiply
    1,479.54x = 2,220.39 × 710.58
  4. Step 4: Simplify right side
    1,479.54x = 1,577,764.73
  5. Step 5: Solve for x
    x = 1,577,764.73/1,479.54
  6. Step 6: Final answer
    x = 1,066.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.