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Finding the Fourth Proportional to 767.83, 1,058.65 and 560.47

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Solution

The fourth proportional to 767.83, 1,058.65 and 560.47 is: 772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.83 : 1,058.65 = 560.47 : x
  2. Step 2: Convert to fraction form
    767.83/1,058.65 = 560.47/x
  3. Step 3: Cross multiply
    767.83x = 1,058.65 × 560.47
  4. Step 4: Simplify right side
    767.83x = 593,341.57
  5. Step 5: Solve for x
    x = 593,341.57/767.83
  6. Step 6: Final answer
    x = 772.75

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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.