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Finding the Fourth Proportional to 1,147.79, 1,584 and 650.48

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Solution

The fourth proportional to 1,147.79, 1,584 and 650.48 is: 897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.79 : 1,584 = 650.48 : x
  2. Step 2: Convert to fraction form
    1,147.79/1,584 = 650.48/x
  3. Step 3: Cross multiply
    1,147.79x = 1,584 × 650.48
  4. Step 4: Simplify right side
    1,147.79x = 1,030,360.32
  5. Step 5: Solve for x
    x = 1,030,360.32/1,147.79
  6. Step 6: Final answer
    x = 897.69

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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.