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Finding the Fourth Proportional to 1,128.45, 1,557.69 and 686.37

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Solution

The fourth proportional to 1,128.45, 1,557.69 and 686.37 is: 947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.45 : 1,557.69 = 686.37 : x
  2. Step 2: Convert to fraction form
    1,128.45/1,557.69 = 686.37/x
  3. Step 3: Cross multiply
    1,128.45x = 1,557.69 × 686.37
  4. Step 4: Simplify right side
    1,128.45x = 1,069,151.69
  5. Step 5: Solve for x
    x = 1,069,151.69/1,128.45
  6. Step 6: Final answer
    x = 947.45

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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.