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Finding the Fourth Proportional to 875.68, 1,312.30 and 442.33

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Solution

The fourth proportional to 875.68, 1,312.30 and 442.33 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.68 : 1,312.30 = 442.33 : x
  2. Step 2: Convert to fraction form
    875.68/1,312.30 = 442.33/x
  3. Step 3: Cross multiply
    875.68x = 1,312.30 × 442.33
  4. Step 4: Simplify right side
    875.68x = 580,466.93
  5. Step 5: Solve for x
    x = 580,466.93/875.68
  6. Step 6: Final answer
    x = 662.88

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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.