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Finding the Fourth Proportional to 783.41, 1,080.23 and 534.86

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Solution

The fourth proportional to 783.41, 1,080.23 and 534.86 is: 737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.41 : 1,080.23 = 534.86 : x
  2. Step 2: Convert to fraction form
    783.41/1,080.23 = 534.86/x
  3. Step 3: Cross multiply
    783.41x = 1,080.23 × 534.86
  4. Step 4: Simplify right side
    783.41x = 577,763.74
  5. Step 5: Solve for x
    x = 577,763.74/783.41
  6. Step 6: Final answer
    x = 737.50

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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.