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Finding the Fourth Proportional to 1,167.06, 1,610.47 and 643.10

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Solution

The fourth proportional to 1,167.06, 1,610.47 and 643.10 is: 887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.06 : 1,610.47 = 643.10 : x
  2. Step 2: Convert to fraction form
    1,167.06/1,610.47 = 643.10/x
  3. Step 3: Cross multiply
    1,167.06x = 1,610.47 × 643.10
  4. Step 4: Simplify right side
    1,167.06x = 1,035,693.26
  5. Step 5: Solve for x
    x = 1,035,693.26/1,167.06
  6. Step 6: Final answer
    x = 887.44

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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.