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Finding the Fourth Proportional to 1,287.75, 1,931.93 and 557.81

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Solution

The fourth proportional to 1,287.75, 1,931.93 and 557.81 is: 836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.75 : 1,931.93 = 557.81 : x
  2. Step 2: Convert to fraction form
    1,287.75/1,931.93 = 557.81/x
  3. Step 3: Cross multiply
    1,287.75x = 1,931.93 × 557.81
  4. Step 4: Simplify right side
    1,287.75x = 1,077,649.87
  5. Step 5: Solve for x
    x = 1,077,649.87/1,287.75
  6. Step 6: Final answer
    x = 836.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.