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Finding the Fourth Proportional to 900.85, 1,242.87 and 569.23

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Solution

The fourth proportional to 900.85, 1,242.87 and 569.23 is: 785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.85 : 1,242.87 = 569.23 : x
  2. Step 2: Convert to fraction form
    900.85/1,242.87 = 569.23/x
  3. Step 3: Cross multiply
    900.85x = 1,242.87 × 569.23
  4. Step 4: Simplify right side
    900.85x = 707,475.25
  5. Step 5: Solve for x
    x = 707,475.25/900.85
  6. Step 6: Final answer
    x = 785.34

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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.