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Finding the Fourth Proportional to 991.77, 1,488.57 and 505.18

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Solution

The fourth proportional to 991.77, 1,488.57 and 505.18 is: 758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.77 : 1,488.57 = 505.18 : x
  2. Step 2: Convert to fraction form
    991.77/1,488.57 = 505.18/x
  3. Step 3: Cross multiply
    991.77x = 1,488.57 × 505.18
  4. Step 4: Simplify right side
    991.77x = 751,995.79
  5. Step 5: Solve for x
    x = 751,995.79/991.77
  6. Step 6: Final answer
    x = 758.24

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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.