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Finding the Fourth Proportional to 1,049.78, 1,448.64 and 584

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Solution

The fourth proportional to 1,049.78, 1,448.64 and 584 is: 805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.78 : 1,448.64 = 584 : x
  2. Step 2: Convert to fraction form
    1,049.78/1,448.64 = 584/x
  3. Step 3: Cross multiply
    1,049.78x = 1,448.64 × 584
  4. Step 4: Simplify right side
    1,049.78x = 846,005.76
  5. Step 5: Solve for x
    x = 846,005.76/1,049.78
  6. Step 6: Final answer
    x = 805.89

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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.