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Finding the Fourth Proportional to 1,079.88, 1,490.01 and 637.83

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Solution

The fourth proportional to 1,079.88, 1,490.01 and 637.83 is: 880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.88 : 1,490.01 = 637.83 : x
  2. Step 2: Convert to fraction form
    1,079.88/1,490.01 = 637.83/x
  3. Step 3: Cross multiply
    1,079.88x = 1,490.01 × 637.83
  4. Step 4: Simplify right side
    1,079.88x = 950,373.08
  5. Step 5: Solve for x
    x = 950,373.08/1,079.88
  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.