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Finding the Fourth Proportional to 1,598.55, 2,207.09 and 1,001.28

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Solution

The fourth proportional to 1,598.55, 2,207.09 and 1,001.28 is: 1,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.55 : 2,207.09 = 1,001.28 : x
  2. Step 2: Convert to fraction form
    1,598.55/2,207.09 = 1,001.28/x
  3. Step 3: Cross multiply
    1,598.55x = 2,207.09 × 1,001.28
  4. Step 4: Simplify right side
    1,598.55x = 2,209,915.08
  5. Step 5: Solve for x
    x = 2,209,915.08/1,598.55
  6. Step 6: Final answer
    x = 1,382.45

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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.