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Finding the Fourth Proportional to 1,133.65, 1,699.20 and 585.85

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Solution

The fourth proportional to 1,133.65, 1,699.20 and 585.85 is: 878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.65 : 1,699.20 = 585.85 : x
  2. Step 2: Convert to fraction form
    1,133.65/1,699.20 = 585.85/x
  3. Step 3: Cross multiply
    1,133.65x = 1,699.20 × 585.85
  4. Step 4: Simplify right side
    1,133.65x = 995,476.32
  5. Step 5: Solve for x
    x = 995,476.32/1,133.65
  6. Step 6: Final answer
    x = 878.12

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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.