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Finding the Fourth Proportional to 1,291.02, 1,781.63 and 767.35

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Solution

The fourth proportional to 1,291.02, 1,781.63 and 767.35 is: 1,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.02 : 1,781.63 = 767.35 : x
  2. Step 2: Convert to fraction form
    1,291.02/1,781.63 = 767.35/x
  3. Step 3: Cross multiply
    1,291.02x = 1,781.63 × 767.35
  4. Step 4: Simplify right side
    1,291.02x = 1,367,133.78
  5. Step 5: Solve for x
    x = 1,367,133.78/1,291.02
  6. Step 6: Final answer
    x = 1,058.96

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