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Finding the Fourth Proportional to 1,009.78, 1,393.35 and 590.17

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Solution

The fourth proportional to 1,009.78, 1,393.35 and 590.17 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.78 : 1,393.35 = 590.17 : x
  2. Step 2: Convert to fraction form
    1,009.78/1,393.35 = 590.17/x
  3. Step 3: Cross multiply
    1,009.78x = 1,393.35 × 590.17
  4. Step 4: Simplify right side
    1,009.78x = 822,313.37
  5. Step 5: Solve for x
    x = 822,313.37/1,009.78
  6. Step 6: Final answer
    x = 814.35

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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.