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Finding the Fourth Proportional to 1,128.67, 1,557.73 and 686.51

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Solution

The fourth proportional to 1,128.67, 1,557.73 and 686.51 is: 947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.67 : 1,557.73 = 686.51 : x
  2. Step 2: Convert to fraction form
    1,128.67/1,557.73 = 686.51/x
  3. Step 3: Cross multiply
    1,128.67x = 1,557.73 × 686.51
  4. Step 4: Simplify right side
    1,128.67x = 1,069,396.13
  5. Step 5: Solve for x
    x = 1,069,396.13/1,128.67
  6. Step 6: Final answer
    x = 947.49

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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.