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Finding the Fourth Proportional to 1,080.66, 1,490.85 and 707.52

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Solution

The fourth proportional to 1,080.66, 1,490.85 and 707.52 is: 976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.66 : 1,490.85 = 707.52 : x
  2. Step 2: Convert to fraction form
    1,080.66/1,490.85 = 707.52/x
  3. Step 3: Cross multiply
    1,080.66x = 1,490.85 × 707.52
  4. Step 4: Simplify right side
    1,080.66x = 1,054,806.19
  5. Step 5: Solve for x
    x = 1,054,806.19/1,080.66
  6. Step 6: Final answer
    x = 976.08

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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.