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Finding the Fourth Proportional to 1,011.56, 1,396.01 and 569.48

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Solution

The fourth proportional to 1,011.56, 1,396.01 and 569.48 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.56 : 1,396.01 = 569.48 : x
  2. Step 2: Convert to fraction form
    1,011.56/1,396.01 = 569.48/x
  3. Step 3: Cross multiply
    1,011.56x = 1,396.01 × 569.48
  4. Step 4: Simplify right side
    1,011.56x = 794,989.95
  5. Step 5: Solve for x
    x = 794,989.95/1,011.56
  6. Step 6: Final answer
    x = 785.91

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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.