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Finding the Fourth Proportional to 1,264.68, 1,737.72 and 1,031.40

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Solution

The fourth proportional to 1,264.68, 1,737.72 and 1,031.40 is: 1,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.68 : 1,737.72 = 1,031.40 : x
  2. Step 2: Convert to fraction form
    1,264.68/1,737.72 = 1,031.40/x
  3. Step 3: Cross multiply
    1,264.68x = 1,737.72 × 1,031.40
  4. Step 4: Simplify right side
    1,264.68x = 1,792,284.41
  5. Step 5: Solve for x
    x = 1,792,284.41/1,264.68
  6. Step 6: Final answer
    x = 1,417.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.