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Finding the Fourth Proportional to 569.65, 785.14 and 562.09

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Solution

The fourth proportional to 569.65, 785.14 and 562.09 is: 774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.65 : 785.14 = 562.09 : x
  2. Step 2: Convert to fraction form
    569.65/785.14 = 562.09/x
  3. Step 3: Cross multiply
    569.65x = 785.14 × 562.09
  4. Step 4: Simplify right side
    569.65x = 441,319.34
  5. Step 5: Solve for x
    x = 441,319.34/569.65
  6. Step 6: Final answer
    x = 774.72

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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.