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Finding the Fourth Proportional to 1,167.78, 1,751.61 and 590.64

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Solution

The fourth proportional to 1,167.78, 1,751.61 and 590.64 is: 885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.78 : 1,751.61 = 590.64 : x
  2. Step 2: Convert to fraction form
    1,167.78/1,751.61 = 590.64/x
  3. Step 3: Cross multiply
    1,167.78x = 1,751.61 × 590.64
  4. Step 4: Simplify right side
    1,167.78x = 1,034,570.93
  5. Step 5: Solve for x
    x = 1,034,570.93/1,167.78
  6. Step 6: Final answer
    x = 885.93

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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.