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Finding the Fourth Proportional to 1,041.70, 1,562.06 and 311.02

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Solution

The fourth proportional to 1,041.70, 1,562.06 and 311.02 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.70 : 1,562.06 = 311.02 : x
  2. Step 2: Convert to fraction form
    1,041.70/1,562.06 = 311.02/x
  3. Step 3: Cross multiply
    1,041.70x = 1,562.06 × 311.02
  4. Step 4: Simplify right side
    1,041.70x = 485,831.90
  5. Step 5: Solve for x
    x = 485,831.90/1,041.70
  6. Step 6: Final answer
    x = 466.38

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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.