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Finding the Fourth Proportional to 780.56, 1,077.24 and 470

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Solution

The fourth proportional to 780.56, 1,077.24 and 470 is: 648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.56 : 1,077.24 = 470 : x
  2. Step 2: Convert to fraction form
    780.56/1,077.24 = 470/x
  3. Step 3: Cross multiply
    780.56x = 1,077.24 × 470
  4. Step 4: Simplify right side
    780.56x = 506,302.80
  5. Step 5: Solve for x
    x = 506,302.80/780.56
  6. Step 6: Final answer
    x = 648.64

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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.