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Finding the Fourth Proportional to 1,142.37, 1,572.36 and 953.73

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Solution

The fourth proportional to 1,142.37, 1,572.36 and 953.73 is: 1,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.37 : 1,572.36 = 953.73 : x
  2. Step 2: Convert to fraction form
    1,142.37/1,572.36 = 953.73/x
  3. Step 3: Cross multiply
    1,142.37x = 1,572.36 × 953.73
  4. Step 4: Simplify right side
    1,142.37x = 1,499,606.90
  5. Step 5: Solve for x
    x = 1,499,606.90/1,142.37
  6. Step 6: Final answer
    x = 1,312.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.