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Finding the Fourth Proportional to 1,172.17, 1,757.10 and 652.42

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Solution

The fourth proportional to 1,172.17, 1,757.10 and 652.42 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.17 : 1,757.10 = 652.42 : x
  2. Step 2: Convert to fraction form
    1,172.17/1,757.10 = 652.42/x
  3. Step 3: Cross multiply
    1,172.17x = 1,757.10 × 652.42
  4. Step 4: Simplify right side
    1,172.17x = 1,146,358.40
  5. Step 5: Solve for x
    x = 1,146,358.40/1,172.17
  6. Step 6: Final answer
    x = 977.98

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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.