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Finding the Fourth Proportional to 1,138.53, 1,707.93 and 489.45

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Solution

The fourth proportional to 1,138.53, 1,707.93 and 489.45 is: 734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.53 : 1,707.93 = 489.45 : x
  2. Step 2: Convert to fraction form
    1,138.53/1,707.93 = 489.45/x
  3. Step 3: Cross multiply
    1,138.53x = 1,707.93 × 489.45
  4. Step 4: Simplify right side
    1,138.53x = 835,946.34
  5. Step 5: Solve for x
    x = 835,946.34/1,138.53
  6. Step 6: Final answer
    x = 734.23

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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.