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Finding the Fourth Proportional to 1,042.46, 1,563.72 and 312.07

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Solution

The fourth proportional to 1,042.46, 1,563.72 and 312.07 is: 468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.46 : 1,563.72 = 312.07 : x
  2. Step 2: Convert to fraction form
    1,042.46/1,563.72 = 312.07/x
  3. Step 3: Cross multiply
    1,042.46x = 1,563.72 × 312.07
  4. Step 4: Simplify right side
    1,042.46x = 487,990.10
  5. Step 5: Solve for x
    x = 487,990.10/1,042.46
  6. Step 6: Final answer
    x = 468.11

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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.