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Finding the Fourth Proportional to 875.73, 1,314.25 and 597.42

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Solution

The fourth proportional to 875.73, 1,314.25 and 597.42 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.73 : 1,314.25 = 597.42 : x
  2. Step 2: Convert to fraction form
    875.73/1,314.25 = 597.42/x
  3. Step 3: Cross multiply
    875.73x = 1,314.25 × 597.42
  4. Step 4: Simplify right side
    875.73x = 785,162.67
  5. Step 5: Solve for x
    x = 785,162.67/875.73
  6. Step 6: Final answer
    x = 896.58

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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.