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Finding the Fourth Proportional to 570.80, 782.14 and 567.20

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Solution

The fourth proportional to 570.80, 782.14 and 567.20 is: 777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 782.14 = 567.20 : x
  2. Step 2: Convert to fraction form
    570.80/782.14 = 567.20/x
  3. Step 3: Cross multiply
    570.80x = 782.14 × 567.20
  4. Step 4: Simplify right side
    570.80x = 443,629.81
  5. Step 5: Solve for x
    x = 443,629.81/570.80
  6. Step 6: Final answer
    x = 777.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.