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Finding the Fourth Proportional to 1,079.91, 1,490.31 and 638.10

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Solution

The fourth proportional to 1,079.91, 1,490.31 and 638.10 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.91 : 1,490.31 = 638.10 : x
  2. Step 2: Convert to fraction form
    1,079.91/1,490.31 = 638.10/x
  3. Step 3: Cross multiply
    1,079.91x = 1,490.31 × 638.10
  4. Step 4: Simplify right side
    1,079.91x = 950,966.81
  5. Step 5: Solve for x
    x = 950,966.81/1,079.91
  6. Step 6: Final answer
    x = 880.60

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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.