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Finding the Fourth Proportional to 1,128.42, 1,557.24 and 631.14

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Solution

The fourth proportional to 1,128.42, 1,557.24 and 631.14 is: 870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.42 : 1,557.24 = 631.14 : x
  2. Step 2: Convert to fraction form
    1,128.42/1,557.24 = 631.14/x
  3. Step 3: Cross multiply
    1,128.42x = 1,557.24 × 631.14
  4. Step 4: Simplify right side
    1,128.42x = 982,836.45
  5. Step 5: Solve for x
    x = 982,836.45/1,128.42
  6. Step 6: Final answer
    x = 870.98

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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.