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Finding the Fourth Proportional to 1,009.64, 1,393.16 and 590.12

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Solution

The fourth proportional to 1,009.64, 1,393.16 and 590.12 is: 814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.64 : 1,393.16 = 590.12 : x
  2. Step 2: Convert to fraction form
    1,009.64/1,393.16 = 590.12/x
  3. Step 3: Cross multiply
    1,009.64x = 1,393.16 × 590.12
  4. Step 4: Simplify right side
    1,009.64x = 822,131.58
  5. Step 5: Solve for x
    x = 822,131.58/1,009.64
  6. Step 6: Final answer
    x = 814.28

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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.