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Finding the Fourth Proportional to 1,167.14, 1,751.29 and 647.53

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Solution

The fourth proportional to 1,167.14, 1,751.29 and 647.53 is: 971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.14 : 1,751.29 = 647.53 : x
  2. Step 2: Convert to fraction form
    1,167.14/1,751.29 = 647.53/x
  3. Step 3: Cross multiply
    1,167.14x = 1,751.29 × 647.53
  4. Step 4: Simplify right side
    1,167.14x = 1,134,006.82
  5. Step 5: Solve for x
    x = 1,134,006.82/1,167.14
  6. Step 6: Final answer
    x = 971.61

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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.