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Finding the Fourth Proportional to 1,051.50, 1,578.17 and 686.70

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Solution

The fourth proportional to 1,051.50, 1,578.17 and 686.70 is: 1,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,578.17 = 686.70 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,578.17 = 686.70/x
  3. Step 3: Cross multiply
    1,051.50x = 1,578.17 × 686.70
  4. Step 4: Simplify right side
    1,051.50x = 1,083,731.06
  5. Step 5: Solve for x
    x = 1,083,731.06/1,051.50
  6. Step 6: Final answer
    x = 1,030.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.