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Finding the Fourth Proportional to 767.27, 1,058.88 and 472.50

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Solution

The fourth proportional to 767.27, 1,058.88 and 472.50 is: 652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.27 : 1,058.88 = 472.50 : x
  2. Step 2: Convert to fraction form
    767.27/1,058.88 = 472.50/x
  3. Step 3: Cross multiply
    767.27x = 1,058.88 × 472.50
  4. Step 4: Simplify right side
    767.27x = 500,320.80
  5. Step 5: Solve for x
    x = 500,320.80/767.27
  6. Step 6: Final answer
    x = 652.08

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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.