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Finding the Fourth Proportional to 1,197.53, 1,652.51 and 700.14

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Solution

The fourth proportional to 1,197.53, 1,652.51 and 700.14 is: 966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.53 : 1,652.51 = 700.14 : x
  2. Step 2: Convert to fraction form
    1,197.53/1,652.51 = 700.14/x
  3. Step 3: Cross multiply
    1,197.53x = 1,652.51 × 700.14
  4. Step 4: Simplify right side
    1,197.53x = 1,156,990.10
  5. Step 5: Solve for x
    x = 1,156,990.10/1,197.53
  6. Step 6: Final answer
    x = 966.15

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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.