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Finding the Fourth Proportional to 1,287.53, 1,931.34 and 557.13

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Solution

The fourth proportional to 1,287.53, 1,931.34 and 557.13 is: 835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.53 : 1,931.34 = 557.13 : x
  2. Step 2: Convert to fraction form
    1,287.53/1,931.34 = 557.13/x
  3. Step 3: Cross multiply
    1,287.53x = 1,931.34 × 557.13
  4. Step 4: Simplify right side
    1,287.53x = 1,076,007.45
  5. Step 5: Solve for x
    x = 1,076,007.45/1,287.53
  6. Step 6: Final answer
    x = 835.71

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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.