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Finding the Fourth Proportional to 963.87, 1,330.14 and 585.75

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Solution

The fourth proportional to 963.87, 1,330.14 and 585.75 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.87 : 1,330.14 = 585.75 : x
  2. Step 2: Convert to fraction form
    963.87/1,330.14 = 585.75/x
  3. Step 3: Cross multiply
    963.87x = 1,330.14 × 585.75
  4. Step 4: Simplify right side
    963.87x = 779,129.51
  5. Step 5: Solve for x
    x = 779,129.51/963.87
  6. Step 6: Final answer
    x = 808.33

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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.