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Finding the Fourth Proportional to 1,285.14, 1,924.59 and 735.65

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Solution

The fourth proportional to 1,285.14, 1,924.59 and 735.65 is: 1,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.14 : 1,924.59 = 735.65 : x
  2. Step 2: Convert to fraction form
    1,285.14/1,924.59 = 735.65/x
  3. Step 3: Cross multiply
    1,285.14x = 1,924.59 × 735.65
  4. Step 4: Simplify right side
    1,285.14x = 1,415,832.20
  5. Step 5: Solve for x
    x = 1,415,832.20/1,285.14
  6. Step 6: Final answer
    x = 1,101.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.