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Finding the Fourth Proportional to 1,017.64, 1,404.10 and 597.90

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Solution

The fourth proportional to 1,017.64, 1,404.10 and 597.90 is: 824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.64 : 1,404.10 = 597.90 : x
  2. Step 2: Convert to fraction form
    1,017.64/1,404.10 = 597.90/x
  3. Step 3: Cross multiply
    1,017.64x = 1,404.10 × 597.90
  4. Step 4: Simplify right side
    1,017.64x = 839,511.39
  5. Step 5: Solve for x
    x = 839,511.39/1,017.64
  6. Step 6: Final answer
    x = 824.96

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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.