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Finding the Fourth Proportional to 1,158.71, 1,599.17 and 661.23

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Solution

The fourth proportional to 1,158.71, 1,599.17 and 661.23 is: 912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.71 : 1,599.17 = 661.23 : x
  2. Step 2: Convert to fraction form
    1,158.71/1,599.17 = 661.23/x
  3. Step 3: Cross multiply
    1,158.71x = 1,599.17 × 661.23
  4. Step 4: Simplify right side
    1,158.71x = 1,057,415.87
  5. Step 5: Solve for x
    x = 1,057,415.87/1,158.71
  6. Step 6: Final answer
    x = 912.58

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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.