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Finding the Fourth Proportional to 1,027.84, 1,418.32 and 585.76

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Solution

The fourth proportional to 1,027.84, 1,418.32 and 585.76 is: 808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,418.32 = 585.76 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,418.32 = 585.76/x
  3. Step 3: Cross multiply
    1,027.84x = 1,418.32 × 585.76
  4. Step 4: Simplify right side
    1,027.84x = 830,795.12
  5. Step 5: Solve for x
    x = 830,795.12/1,027.84
  6. Step 6: Final answer
    x = 808.29

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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.