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Finding the Fourth Proportional to 942.54, 1,300.78 and 522.93

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Solution

The fourth proportional to 942.54, 1,300.78 and 522.93 is: 721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.54 : 1,300.78 = 522.93 : x
  2. Step 2: Convert to fraction form
    942.54/1,300.78 = 522.93/x
  3. Step 3: Cross multiply
    942.54x = 1,300.78 × 522.93
  4. Step 4: Simplify right side
    942.54x = 680,217.54
  5. Step 5: Solve for x
    x = 680,217.54/942.54
  6. Step 6: Final answer
    x = 721.69

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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.