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Finding the Fourth Proportional to 783.65, 1,080.71 and 503.39

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Solution

The fourth proportional to 783.65, 1,080.71 and 503.39 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,080.71 = 503.39 : x
  2. Step 2: Convert to fraction form
    783.65/1,080.71 = 503.39/x
  3. Step 3: Cross multiply
    783.65x = 1,080.71 × 503.39
  4. Step 4: Simplify right side
    783.65x = 544,010.69
  5. Step 5: Solve for x
    x = 544,010.69/783.65
  6. Step 6: Final answer
    x = 694.21

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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.