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Finding the Fourth Proportional to 900.69, 1,242.69 and 564.87

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Solution

The fourth proportional to 900.69, 1,242.69 and 564.87 is: 779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.69 : 1,242.69 = 564.87 : x
  2. Step 2: Convert to fraction form
    900.69/1,242.69 = 564.87/x
  3. Step 3: Cross multiply
    900.69x = 1,242.69 × 564.87
  4. Step 4: Simplify right side
    900.69x = 701,958.30
  5. Step 5: Solve for x
    x = 701,958.30/900.69
  6. Step 6: Final answer
    x = 779.36

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1.5x scale

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.