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Finding the Fourth Proportional to 1,147.84, 1,584 and 650.40

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Solution

The fourth proportional to 1,147.84, 1,584 and 650.40 is: 897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.84 : 1,584 = 650.40 : x
  2. Step 2: Convert to fraction form
    1,147.84/1,584 = 650.40/x
  3. Step 3: Cross multiply
    1,147.84x = 1,584 × 650.40
  4. Step 4: Simplify right side
    1,147.84x = 1,030,233.60
  5. Step 5: Solve for x
    x = 1,030,233.60/1,147.84
  6. Step 6: Final answer
    x = 897.54

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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.