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Finding the Fourth Proportional to 1,009.92, 1,393.49 and 590.19

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Solution

The fourth proportional to 1,009.92, 1,393.49 and 590.19 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.92 : 1,393.49 = 590.19 : x
  2. Step 2: Convert to fraction form
    1,009.92/1,393.49 = 590.19/x
  3. Step 3: Cross multiply
    1,009.92x = 1,393.49 × 590.19
  4. Step 4: Simplify right side
    1,009.92x = 822,417.43
  5. Step 5: Solve for x
    x = 822,417.43/1,009.92
  6. Step 6: Final answer
    x = 814.34

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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.