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Finding the Fourth Proportional to 1,269.99, 1,752.37 and 798.17

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Solution

The fourth proportional to 1,269.99, 1,752.37 and 798.17 is: 1,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.99 : 1,752.37 = 798.17 : x
  2. Step 2: Convert to fraction form
    1,269.99/1,752.37 = 798.17/x
  3. Step 3: Cross multiply
    1,269.99x = 1,752.37 × 798.17
  4. Step 4: Simplify right side
    1,269.99x = 1,398,678.41
  5. Step 5: Solve for x
    x = 1,398,678.41/1,269.99
  6. Step 6: Final answer
    x = 1,101.33

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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.