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Finding the Fourth Proportional to 1,148, 1,584.28 and 734

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Solution

The fourth proportional to 1,148, 1,584.28 and 734 is: 1,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148 : 1,584.28 = 734 : x
  2. Step 2: Convert to fraction form
    1,148/1,584.28 = 734/x
  3. Step 3: Cross multiply
    1,148x = 1,584.28 × 734
  4. Step 4: Simplify right side
    1,148x = 1,162,861.52
  5. Step 5: Solve for x
    x = 1,162,861.52/1,148
  6. Step 6: Final answer
    x = 1,012.95

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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.