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Finding the Fourth Proportional to 565.80, 782.10 and 565.80

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Solution

The fourth proportional to 565.80, 782.10 and 565.80 is: 782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 782.10 = 565.80 : x
  2. Step 2: Convert to fraction form
    565.80/782.10 = 565.80/x
  3. Step 3: Cross multiply
    565.80x = 782.10 × 565.80
  4. Step 4: Simplify right side
    565.80x = 442,512.18
  5. Step 5: Solve for x
    x = 442,512.18/565.80
  6. Step 6: Final answer
    x = 782.10

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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.