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Finding the Fourth Proportional to 767.71, 1,058.90 and 473.14

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Solution

The fourth proportional to 767.71, 1,058.90 and 473.14 is: 652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.71 : 1,058.90 = 473.14 : x
  2. Step 2: Convert to fraction form
    767.71/1,058.90 = 473.14/x
  3. Step 3: Cross multiply
    767.71x = 1,058.90 × 473.14
  4. Step 4: Simplify right side
    767.71x = 501,007.95
  5. Step 5: Solve for x
    x = 501,007.95/767.71
  6. Step 6: Final answer
    x = 652.60

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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.