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Finding the Fourth Proportional to 947.16, 1,418.92 and 535.07

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Solution

The fourth proportional to 947.16, 1,418.92 and 535.07 is: 801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,418.92 = 535.07 : x
  2. Step 2: Convert to fraction form
    947.16/1,418.92 = 535.07/x
  3. Step 3: Cross multiply
    947.16x = 1,418.92 × 535.07
  4. Step 4: Simplify right side
    947.16x = 759,223.73
  5. Step 5: Solve for x
    x = 759,223.73/947.16
  6. Step 6: Final answer
    x = 801.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.