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Finding the Fourth Proportional to 1,080.55, 1,490.79 and 707.95

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Solution

The fourth proportional to 1,080.55, 1,490.79 and 707.95 is: 976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.55 : 1,490.79 = 707.95 : x
  2. Step 2: Convert to fraction form
    1,080.55/1,490.79 = 707.95/x
  3. Step 3: Cross multiply
    1,080.55x = 1,490.79 × 707.95
  4. Step 4: Simplify right side
    1,080.55x = 1,055,404.78
  5. Step 5: Solve for x
    x = 1,055,404.78/1,080.55
  6. Step 6: Final answer
    x = 976.73

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