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Finding the Fourth Proportional to 947.03, 1,306.64 and 569.03

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Solution

The fourth proportional to 947.03, 1,306.64 and 569.03 is: 785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.03 : 1,306.64 = 569.03 : x
  2. Step 2: Convert to fraction form
    947.03/1,306.64 = 569.03/x
  3. Step 3: Cross multiply
    947.03x = 1,306.64 × 569.03
  4. Step 4: Simplify right side
    947.03x = 743,512.25
  5. Step 5: Solve for x
    x = 743,512.25/947.03
  6. Step 6: Final answer
    x = 785.10

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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.