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Finding the Fourth Proportional to 875.66, 1,312.41 and 442.94

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Solution

The fourth proportional to 875.66, 1,312.41 and 442.94 is: 663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.66 : 1,312.41 = 442.94 : x
  2. Step 2: Convert to fraction form
    875.66/1,312.41 = 442.94/x
  3. Step 3: Cross multiply
    875.66x = 1,312.41 × 442.94
  4. Step 4: Simplify right side
    875.66x = 581,318.89
  5. Step 5: Solve for x
    x = 581,318.89/875.66
  6. Step 6: Final answer
    x = 663.86

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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.