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Finding the Fourth Proportional to 1,040.45, 1,435.22 and 686.58

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Solution

The fourth proportional to 1,040.45, 1,435.22 and 686.58 is: 947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.45 : 1,435.22 = 686.58 : x
  2. Step 2: Convert to fraction form
    1,040.45/1,435.22 = 686.58/x
  3. Step 3: Cross multiply
    1,040.45x = 1,435.22 × 686.58
  4. Step 4: Simplify right side
    1,040.45x = 985,387.11
  5. Step 5: Solve for x
    x = 985,387.11/1,040.45
  6. Step 6: Final answer
    x = 947.08

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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.