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Finding the Fourth Proportional to 1,167.17, 1,610.93 and 670.15

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Solution

The fourth proportional to 1,167.17, 1,610.93 and 670.15 is: 924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.17 : 1,610.93 = 670.15 : x
  2. Step 2: Convert to fraction form
    1,167.17/1,610.93 = 670.15/x
  3. Step 3: Cross multiply
    1,167.17x = 1,610.93 × 670.15
  4. Step 4: Simplify right side
    1,167.17x = 1,079,564.74
  5. Step 5: Solve for x
    x = 1,079,564.74/1,167.17
  6. Step 6: Final answer
    x = 924.94

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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.