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Finding the Fourth Proportional to 1,012.99, 1,397.05 and 658.56

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Solution

The fourth proportional to 1,012.99, 1,397.05 and 658.56 is: 908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.99 : 1,397.05 = 658.56 : x
  2. Step 2: Convert to fraction form
    1,012.99/1,397.05 = 658.56/x
  3. Step 3: Cross multiply
    1,012.99x = 1,397.05 × 658.56
  4. Step 4: Simplify right side
    1,012.99x = 920,041.25
  5. Step 5: Solve for x
    x = 920,041.25/1,012.99
  6. Step 6: Final answer
    x = 908.24

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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.