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Finding the Fourth Proportional to 1,598.81, 2,397.80 and 503.08

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Solution

The fourth proportional to 1,598.81, 2,397.80 and 503.08 is: 754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.81 : 2,397.80 = 503.08 : x
  2. Step 2: Convert to fraction form
    1,598.81/2,397.80 = 503.08/x
  3. Step 3: Cross multiply
    1,598.81x = 2,397.80 × 503.08
  4. Step 4: Simplify right side
    1,598.81x = 1,206,280.49
  5. Step 5: Solve for x
    x = 1,206,280.49/1,598.81
  6. Step 6: Final answer
    x = 754.49

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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.