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Finding the Fourth Proportional to 1,042.68, 1,564.10 and 312.26

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Solution

The fourth proportional to 1,042.68, 1,564.10 and 312.26 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.68 : 1,564.10 = 312.26 : x
  2. Step 2: Convert to fraction form
    1,042.68/1,564.10 = 312.26/x
  3. Step 3: Cross multiply
    1,042.68x = 1,564.10 × 312.26
  4. Step 4: Simplify right side
    1,042.68x = 488,408.21
  5. Step 5: Solve for x
    x = 488,408.21/1,042.68
  6. Step 6: Final answer
    x = 468.42

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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.