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Finding the Fourth Proportional to 1,598.67, 2,398.01 and 503.06

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Solution

The fourth proportional to 1,598.67, 2,398.01 and 503.06 is: 754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.67 : 2,398.01 = 503.06 : x
  2. Step 2: Convert to fraction form
    1,598.67/2,398.01 = 503.06/x
  3. Step 3: Cross multiply
    1,598.67x = 2,398.01 × 503.06
  4. Step 4: Simplify right side
    1,598.67x = 1,206,328.41
  5. Step 5: Solve for x
    x = 1,206,328.41/1,598.67
  6. Step 6: Final answer
    x = 754.58

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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.