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Finding the Fourth Proportional to 783.06, 1,079.71 and 534.52

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Solution

The fourth proportional to 783.06, 1,079.71 and 534.52 is: 737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,079.71 = 534.52 : x
  2. Step 2: Convert to fraction form
    783.06/1,079.71 = 534.52/x
  3. Step 3: Cross multiply
    783.06x = 1,079.71 × 534.52
  4. Step 4: Simplify right side
    783.06x = 577,126.59
  5. Step 5: Solve for x
    x = 577,126.59/783.06
  6. Step 6: Final answer
    x = 737.01

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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.