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Finding the Fourth Proportional to 942.03, 1,300.05 and 522.39

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Solution

The fourth proportional to 942.03, 1,300.05 and 522.39 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.03 : 1,300.05 = 522.39 : x
  2. Step 2: Convert to fraction form
    942.03/1,300.05 = 522.39/x
  3. Step 3: Cross multiply
    942.03x = 1,300.05 × 522.39
  4. Step 4: Simplify right side
    942.03x = 679,133.12
  5. Step 5: Solve for x
    x = 679,133.12/942.03
  6. Step 6: Final answer
    x = 720.93

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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.