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Finding the Fourth Proportional to 865.51, 1,194.38 and 472.53

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Solution

The fourth proportional to 865.51, 1,194.38 and 472.53 is: 652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.51 : 1,194.38 = 472.53 : x
  2. Step 2: Convert to fraction form
    865.51/1,194.38 = 472.53/x
  3. Step 3: Cross multiply
    865.51x = 1,194.38 × 472.53
  4. Step 4: Simplify right side
    865.51x = 564,378.02
  5. Step 5: Solve for x
    x = 564,378.02/865.51
  6. Step 6: Final answer
    x = 652.08

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Why These Related Problems?

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