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Finding the Fourth Proportional to 1,166.49, 1,609.62 and 724.23

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Solution

The fourth proportional to 1,166.49, 1,609.62 and 724.23 is: 999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.49 : 1,609.62 = 724.23 : x
  2. Step 2: Convert to fraction form
    1,166.49/1,609.62 = 724.23/x
  3. Step 3: Cross multiply
    1,166.49x = 1,609.62 × 724.23
  4. Step 4: Simplify right side
    1,166.49x = 1,165,723.42
  5. Step 5: Solve for x
    x = 1,165,723.42/1,166.49
  6. Step 6: Final answer
    x = 999.35

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1.5x scale

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.