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Finding the Fourth Proportional to 1,040.22, 1,436.06 and 686.39

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Solution

The fourth proportional to 1,040.22, 1,436.06 and 686.39 is: 947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.22 : 1,436.06 = 686.39 : x
  2. Step 2: Convert to fraction form
    1,040.22/1,436.06 = 686.39/x
  3. Step 3: Cross multiply
    1,040.22x = 1,436.06 × 686.39
  4. Step 4: Simplify right side
    1,040.22x = 985,686.61
  5. Step 5: Solve for x
    x = 985,686.61/1,040.22
  6. Step 6: Final answer
    x = 947.58

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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.