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Finding the Fourth Proportional to 1,141.67, 1,575.47 and 700.31

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Solution

The fourth proportional to 1,141.67, 1,575.47 and 700.31 is: 966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.67 : 1,575.47 = 700.31 : x
  2. Step 2: Convert to fraction form
    1,141.67/1,575.47 = 700.31/x
  3. Step 3: Cross multiply
    1,141.67x = 1,575.47 × 700.31
  4. Step 4: Simplify right side
    1,141.67x = 1,103,313.89
  5. Step 5: Solve for x
    x = 1,103,313.89/1,141.67
  6. Step 6: Final answer
    x = 966.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.