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Finding the Fourth Proportional to 933.24, 1,398.24 and 500.70

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Solution

The fourth proportional to 933.24, 1,398.24 and 500.70 is: 750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.24 : 1,398.24 = 500.70 : x
  2. Step 2: Convert to fraction form
    933.24/1,398.24 = 500.70/x
  3. Step 3: Cross multiply
    933.24x = 1,398.24 × 500.70
  4. Step 4: Simplify right side
    933.24x = 700,098.77
  5. Step 5: Solve for x
    x = 700,098.77/933.24
  6. Step 6: Final answer
    x = 750.18

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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.