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Finding the Fourth Proportional to 942.42, 1,300.62 and 522.81

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Solution

The fourth proportional to 942.42, 1,300.62 and 522.81 is: 721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.42 : 1,300.62 = 522.81 : x
  2. Step 2: Convert to fraction form
    942.42/1,300.62 = 522.81/x
  3. Step 3: Cross multiply
    942.42x = 1,300.62 × 522.81
  4. Step 4: Simplify right side
    942.42x = 679,977.14
  5. Step 5: Solve for x
    x = 679,977.14/942.42
  6. Step 6: Final answer
    x = 721.52

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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.