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Finding the Fourth Proportional to 942.59, 1,300.82 and 522.99

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Solution

The fourth proportional to 942.59, 1,300.82 and 522.99 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.59 : 1,300.82 = 522.99 : x
  2. Step 2: Convert to fraction form
    942.59/1,300.82 = 522.99/x
  3. Step 3: Cross multiply
    942.59x = 1,300.82 × 522.99
  4. Step 4: Simplify right side
    942.59x = 680,313.24
  5. Step 5: Solve for x
    x = 680,313.24/942.59
  6. Step 6: Final answer
    x = 721.75

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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.