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Finding the Fourth Proportional to 1,262.41, 1,742.45 and 731.18

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Solution

The fourth proportional to 1,262.41, 1,742.45 and 731.18 is: 1,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.41 : 1,742.45 = 731.18 : x
  2. Step 2: Convert to fraction form
    1,262.41/1,742.45 = 731.18/x
  3. Step 3: Cross multiply
    1,262.41x = 1,742.45 × 731.18
  4. Step 4: Simplify right side
    1,262.41x = 1,274,045.29
  5. Step 5: Solve for x
    x = 1,274,045.29/1,262.41
  6. Step 6: Final answer
    x = 1,009.22

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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.