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Finding the Fourth Proportional to 780.84, 1,077.84 and 470.52

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Solution

The fourth proportional to 780.84, 1,077.84 and 470.52 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,077.84 = 470.52 : x
  2. Step 2: Convert to fraction form
    780.84/1,077.84 = 470.52/x
  3. Step 3: Cross multiply
    780.84x = 1,077.84 × 470.52
  4. Step 4: Simplify right side
    780.84x = 507,145.28
  5. Step 5: Solve for x
    x = 507,145.28/780.84
  6. Step 6: Final answer
    x = 649.49

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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.