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Finding the Fourth Proportional to 1,152.34, 1,726.08 and 991.96

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Solution

The fourth proportional to 1,152.34, 1,726.08 and 991.96 is: 1,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,726.08 = 991.96 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,726.08 = 991.96/x
  3. Step 3: Cross multiply
    1,152.34x = 1,726.08 × 991.96
  4. Step 4: Simplify right side
    1,152.34x = 1,712,202.32
  5. Step 5: Solve for x
    x = 1,712,202.32/1,152.34
  6. Step 6: Final answer
    x = 1,485.85

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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.