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Finding the Fourth Proportional to 875.89, 1,314.51 and 869.05

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Solution

The fourth proportional to 875.89, 1,314.51 and 869.05 is: 1,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.89 : 1,314.51 = 869.05 : x
  2. Step 2: Convert to fraction form
    875.89/1,314.51 = 869.05/x
  3. Step 3: Cross multiply
    875.89x = 1,314.51 × 869.05
  4. Step 4: Simplify right side
    875.89x = 1,142,364.00
  5. Step 5: Solve for x
    x = 1,142,364.00/875.89
  6. Step 6: Final answer
    x = 1,304.24

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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.