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Finding the Fourth Proportional to 781.95, 1,078.87 and 467.07

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Solution

The fourth proportional to 781.95, 1,078.87 and 467.07 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.95 : 1,078.87 = 467.07 : x
  2. Step 2: Convert to fraction form
    781.95/1,078.87 = 467.07/x
  3. Step 3: Cross multiply
    781.95x = 1,078.87 × 467.07
  4. Step 4: Simplify right side
    781.95x = 503,907.82
  5. Step 5: Solve for x
    x = 503,907.82/781.95
  6. Step 6: Final answer
    x = 644.43

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1.5x scale

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.