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Finding the Fourth Proportional to 1,158.08, 1,598.06 and 660.71

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Solution

The fourth proportional to 1,158.08, 1,598.06 and 660.71 is: 911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.08 : 1,598.06 = 660.71 : x
  2. Step 2: Convert to fraction form
    1,158.08/1,598.06 = 660.71/x
  3. Step 3: Cross multiply
    1,158.08x = 1,598.06 × 660.71
  4. Step 4: Simplify right side
    1,158.08x = 1,055,859.87
  5. Step 5: Solve for x
    x = 1,055,859.87/1,158.08
  6. Step 6: Final answer
    x = 911.74

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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.