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Finding the Fourth Proportional to 1,142.16, 1,575.81 and 637.93

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Solution

The fourth proportional to 1,142.16, 1,575.81 and 637.93 is: 880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.16 : 1,575.81 = 637.93 : x
  2. Step 2: Convert to fraction form
    1,142.16/1,575.81 = 637.93/x
  3. Step 3: Cross multiply
    1,142.16x = 1,575.81 × 637.93
  4. Step 4: Simplify right side
    1,142.16x = 1,005,256.47
  5. Step 5: Solve for x
    x = 1,005,256.47/1,142.16
  6. Step 6: Final answer
    x = 880.14

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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.