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Finding the Fourth Proportional to 1,158.06, 1,737.12 and 455.24

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Solution

The fourth proportional to 1,158.06, 1,737.12 and 455.24 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.06 : 1,737.12 = 455.24 : x
  2. Step 2: Convert to fraction form
    1,158.06/1,737.12 = 455.24/x
  3. Step 3: Cross multiply
    1,158.06x = 1,737.12 × 455.24
  4. Step 4: Simplify right side
    1,158.06x = 790,806.51
  5. Step 5: Solve for x
    x = 790,806.51/1,158.06
  6. Step 6: Final answer
    x = 682.87

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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.