Home / 1,005.04-1,384.98-724.78

Finding the Fourth Proportional to 1,005.04, 1,384.98 and 724.78

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Solution

The fourth proportional to 1,005.04, 1,384.98 and 724.78 is: 998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.04 : 1,384.98 = 724.78 : x
  2. Step 2: Convert to fraction form
    1,005.04/1,384.98 = 724.78/x
  3. Step 3: Cross multiply
    1,005.04x = 1,384.98 × 724.78
  4. Step 4: Simplify right side
    1,005.04x = 1,003,805.80
  5. Step 5: Solve for x
    x = 1,003,805.80/1,005.04
  6. Step 6: Final answer
    x = 998.77

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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.