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Finding the Fourth Proportional to 1,042.56, 1,564.02 and 312.18

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Solution

The fourth proportional to 1,042.56, 1,564.02 and 312.18 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.56 : 1,564.02 = 312.18 : x
  2. Step 2: Convert to fraction form
    1,042.56/1,564.02 = 312.18/x
  3. Step 3: Cross multiply
    1,042.56x = 1,564.02 × 312.18
  4. Step 4: Simplify right side
    1,042.56x = 488,255.76
  5. Step 5: Solve for x
    x = 488,255.76/1,042.56
  6. Step 6: Final answer
    x = 468.32

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Why These Related Problems?

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