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Finding the Fourth Proportional to 809.79, 1,117.17 and 514.98

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Solution

The fourth proportional to 809.79, 1,117.17 and 514.98 is: 710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,117.17 = 514.98 : x
  2. Step 2: Convert to fraction form
    809.79/1,117.17 = 514.98/x
  3. Step 3: Cross multiply
    809.79x = 1,117.17 × 514.98
  4. Step 4: Simplify right side
    809.79x = 575,320.21
  5. Step 5: Solve for x
    x = 575,320.21/809.79
  6. Step 6: Final answer
    x = 710.46

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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.