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Finding the Fourth Proportional to 569.72, 786.65 and 560.64

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Solution

The fourth proportional to 569.72, 786.65 and 560.64 is: 774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 786.65 = 560.64 : x
  2. Step 2: Convert to fraction form
    569.72/786.65 = 560.64/x
  3. Step 3: Cross multiply
    569.72x = 786.65 × 560.64
  4. Step 4: Simplify right side
    569.72x = 441,029.71
  5. Step 5: Solve for x
    x = 441,029.71/569.72
  6. Step 6: Final answer
    x = 774.11

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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.