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Finding the Fourth Proportional to 1,159.24, 1,599.70 and 661.96

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Solution

The fourth proportional to 1,159.24, 1,599.70 and 661.96 is: 913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,599.70 = 661.96 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,599.70 = 661.96/x
  3. Step 3: Cross multiply
    1,159.24x = 1,599.70 × 661.96
  4. Step 4: Simplify right side
    1,159.24x = 1,058,937.41
  5. Step 5: Solve for x
    x = 1,058,937.41/1,159.24
  6. Step 6: Final answer
    x = 913.48

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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.