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Finding the Fourth Proportional to 1,158.07, 1,598.32 and 738.61

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Solution

The fourth proportional to 1,158.07, 1,598.32 and 738.61 is: 1,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.07 : 1,598.32 = 738.61 : x
  2. Step 2: Convert to fraction form
    1,158.07/1,598.32 = 738.61/x
  3. Step 3: Cross multiply
    1,158.07x = 1,598.32 × 738.61
  4. Step 4: Simplify right side
    1,158.07x = 1,180,535.14
  5. Step 5: Solve for x
    x = 1,180,535.14/1,158.07
  6. Step 6: Final answer
    x = 1,019.40

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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.