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Finding the Fourth Proportional to 767.84, 1,147.83 and 572.72

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Solution

The fourth proportional to 767.84, 1,147.83 and 572.72 is: 856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,147.83 = 572.72 : x
  2. Step 2: Convert to fraction form
    767.84/1,147.83 = 572.72/x
  3. Step 3: Cross multiply
    767.84x = 1,147.83 × 572.72
  4. Step 4: Simplify right side
    767.84x = 657,387.79
  5. Step 5: Solve for x
    x = 657,387.79/767.84
  6. Step 6: Final answer
    x = 856.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.