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Finding the Fourth Proportional to 947.77, 1,308.06 and 569.65

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Solution

The fourth proportional to 947.77, 1,308.06 and 569.65 is: 786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.77 : 1,308.06 = 569.65 : x
  2. Step 2: Convert to fraction form
    947.77/1,308.06 = 569.65/x
  3. Step 3: Cross multiply
    947.77x = 1,308.06 × 569.65
  4. Step 4: Simplify right side
    947.77x = 745,136.38
  5. Step 5: Solve for x
    x = 745,136.38/947.77
  6. Step 6: Final answer
    x = 786.20

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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.