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Finding the Fourth Proportional to 1,083.12, 1,494.70 and 585.76

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Solution

The fourth proportional to 1,083.12, 1,494.70 and 585.76 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.12 : 1,494.70 = 585.76 : x
  2. Step 2: Convert to fraction form
    1,083.12/1,494.70 = 585.76/x
  3. Step 3: Cross multiply
    1,083.12x = 1,494.70 × 585.76
  4. Step 4: Simplify right side
    1,083.12x = 875,529.69
  5. Step 5: Solve for x
    x = 875,529.69/1,083.12
  6. Step 6: Final answer
    x = 808.34

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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.