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Finding the Fourth Proportional to 1,040.12, 1,436.48 and 707.96

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Solution

The fourth proportional to 1,040.12, 1,436.48 and 707.96 is: 977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.12 : 1,436.48 = 707.96 : x
  2. Step 2: Convert to fraction form
    1,040.12/1,436.48 = 707.96/x
  3. Step 3: Cross multiply
    1,040.12x = 1,436.48 × 707.96
  4. Step 4: Simplify right side
    1,040.12x = 1,016,970.38
  5. Step 5: Solve for x
    x = 1,016,970.38/1,040.12
  6. Step 6: Final answer
    x = 977.74

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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.