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Finding the Fourth Proportional to 1,158.59, 1,737.57 and 378.32

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Solution

The fourth proportional to 1,158.59, 1,737.57 and 378.32 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.59 : 1,737.57 = 378.32 : x
  2. Step 2: Convert to fraction form
    1,158.59/1,737.57 = 378.32/x
  3. Step 3: Cross multiply
    1,158.59x = 1,737.57 × 378.32
  4. Step 4: Simplify right side
    1,158.59x = 657,357.48
  5. Step 5: Solve for x
    x = 657,357.48/1,158.59
  6. Step 6: Final answer
    x = 567.38

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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.