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Finding the Fourth Proportional to 1,598.64, 2,398.88 and 674.13

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Solution

The fourth proportional to 1,598.64, 2,398.88 and 674.13 is: 1,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.64 : 2,398.88 = 674.13 : x
  2. Step 2: Convert to fraction form
    1,598.64/2,398.88 = 674.13/x
  3. Step 3: Cross multiply
    1,598.64x = 2,398.88 × 674.13
  4. Step 4: Simplify right side
    1,598.64x = 1,617,167.66
  5. Step 5: Solve for x
    x = 1,617,167.66/1,598.64
  6. Step 6: Final answer
    x = 1,011.59

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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.