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Finding the Fourth Proportional to 1,012.96, 1,398.01 and 571.00

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Solution

The fourth proportional to 1,012.96, 1,398.01 and 571.00 is: 788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.96 : 1,398.01 = 571.00 : x
  2. Step 2: Convert to fraction form
    1,012.96/1,398.01 = 571.00/x
  3. Step 3: Cross multiply
    1,012.96x = 1,398.01 × 571.00
  4. Step 4: Simplify right side
    1,012.96x = 798,262.48
  5. Step 5: Solve for x
    x = 798,262.48/1,012.96
  6. Step 6: Final answer
    x = 788.05

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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.