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Finding the Fourth Proportional to 781.06, 1,077.93 and 470.50

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Solution

The fourth proportional to 781.06, 1,077.93 and 470.50 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.06 : 1,077.93 = 470.50 : x
  2. Step 2: Convert to fraction form
    781.06/1,077.93 = 470.50/x
  3. Step 3: Cross multiply
    781.06x = 1,077.93 × 470.50
  4. Step 4: Simplify right side
    781.06x = 507,166.07
  5. Step 5: Solve for x
    x = 507,166.07/781.06
  6. Step 6: Final answer
    x = 649.33

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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.