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Finding the Fourth Proportional to 780.47, 1,077 and 431.16

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Solution

The fourth proportional to 780.47, 1,077 and 431.16 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.47 : 1,077 = 431.16 : x
  2. Step 2: Convert to fraction form
    780.47/1,077 = 431.16/x
  3. Step 3: Cross multiply
    780.47x = 1,077 × 431.16
  4. Step 4: Simplify right side
    780.47x = 464,356.63
  5. Step 5: Solve for x
    x = 464,356.63/780.47
  6. Step 6: Final answer
    x = 594.97

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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.