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Finding the Fourth Proportional to 875.47, 1,312.10 and 412.27

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Solution

The fourth proportional to 875.47, 1,312.10 and 412.27 is: 617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.47 : 1,312.10 = 412.27 : x
  2. Step 2: Convert to fraction form
    875.47/1,312.10 = 412.27/x
  3. Step 3: Cross multiply
    875.47x = 1,312.10 × 412.27
  4. Step 4: Simplify right side
    875.47x = 540,939.47
  5. Step 5: Solve for x
    x = 540,939.47/875.47
  6. Step 6: Final answer
    x = 617.88

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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.