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Finding the Fourth Proportional to 1,158.41, 1,740.35 and 953.38

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Solution

The fourth proportional to 1,158.41, 1,740.35 and 953.38 is: 1,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.41 : 1,740.35 = 953.38 : x
  2. Step 2: Convert to fraction form
    1,158.41/1,740.35 = 953.38/x
  3. Step 3: Cross multiply
    1,158.41x = 1,740.35 × 953.38
  4. Step 4: Simplify right side
    1,158.41x = 1,659,219.44
  5. Step 5: Solve for x
    x = 1,659,219.44/1,158.41
  6. Step 6: Final answer
    x = 1,432.32

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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.