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Finding the Fourth Proportional to 1,598.77, 2,398.28 and 503.13

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Solution

The fourth proportional to 1,598.77, 2,398.28 and 503.13 is: 754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.77 : 2,398.28 = 503.13 : x
  2. Step 2: Convert to fraction form
    1,598.77/2,398.28 = 503.13/x
  3. Step 3: Cross multiply
    1,598.77x = 2,398.28 × 503.13
  4. Step 4: Simplify right side
    1,598.77x = 1,206,646.62
  5. Step 5: Solve for x
    x = 1,206,646.62/1,598.77
  6. Step 6: Final answer
    x = 754.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.