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Finding the Fourth Proportional to 1,288.48, 1,931.10 and 557.20

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Solution

The fourth proportional to 1,288.48, 1,931.10 and 557.20 is: 835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.48 : 1,931.10 = 557.20 : x
  2. Step 2: Convert to fraction form
    1,288.48/1,931.10 = 557.20/x
  3. Step 3: Cross multiply
    1,288.48x = 1,931.10 × 557.20
  4. Step 4: Simplify right side
    1,288.48x = 1,076,008.92
  5. Step 5: Solve for x
    x = 1,076,008.92/1,288.48
  6. Step 6: Final answer
    x = 835.10

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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.