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Finding the Fourth Proportional to 781.06, 1,078.05 and 501.46

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Solution

The fourth proportional to 781.06, 1,078.05 and 501.46 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.06 : 1,078.05 = 501.46 : x
  2. Step 2: Convert to fraction form
    781.06/1,078.05 = 501.46/x
  3. Step 3: Cross multiply
    781.06x = 1,078.05 × 501.46
  4. Step 4: Simplify right side
    781.06x = 540,598.95
  5. Step 5: Solve for x
    x = 540,598.95/781.06
  6. Step 6: Final answer
    x = 692.13

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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.