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Finding the Fourth Proportional to 875.88, 1,312.28 and 464.11

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Solution

The fourth proportional to 875.88, 1,312.28 and 464.11 is: 695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,312.28 = 464.11 : x
  2. Step 2: Convert to fraction form
    875.88/1,312.28 = 464.11/x
  3. Step 3: Cross multiply
    875.88x = 1,312.28 × 464.11
  4. Step 4: Simplify right side
    875.88x = 609,042.27
  5. Step 5: Solve for x
    x = 609,042.27/875.88
  6. Step 6: Final answer
    x = 695.35

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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.