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Finding the Fourth Proportional to 1,079.80, 1,490.10 and 637.74

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Solution

The fourth proportional to 1,079.80, 1,490.10 and 637.74 is: 880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.80 : 1,490.10 = 637.74 : x
  2. Step 2: Convert to fraction form
    1,079.80/1,490.10 = 637.74/x
  3. Step 3: Cross multiply
    1,079.80x = 1,490.10 × 637.74
  4. Step 4: Simplify right side
    1,079.80x = 950,293.98
  5. Step 5: Solve for x
    x = 950,293.98/1,079.80
  6. Step 6: Final answer
    x = 880.07

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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.