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Finding the Fourth Proportional to 709.20, 977.44 and 569.08

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Solution

The fourth proportional to 709.20, 977.44 and 569.08 is: 784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 977.44 = 569.08 : x
  2. Step 2: Convert to fraction form
    709.20/977.44 = 569.08/x
  3. Step 3: Cross multiply
    709.20x = 977.44 × 569.08
  4. Step 4: Simplify right side
    709.20x = 556,241.56
  5. Step 5: Solve for x
    x = 556,241.56/709.20
  6. Step 6: Final answer
    x = 784.32

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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.