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Finding the Fourth Proportional to 1,283.23, 1,924.07 and 502.30

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Solution

The fourth proportional to 1,283.23, 1,924.07 and 502.30 is: 753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.23 : 1,924.07 = 502.30 : x
  2. Step 2: Convert to fraction form
    1,283.23/1,924.07 = 502.30/x
  3. Step 3: Cross multiply
    1,283.23x = 1,924.07 × 502.30
  4. Step 4: Simplify right side
    1,283.23x = 966,450.74
  5. Step 5: Solve for x
    x = 966,450.74/1,283.23
  6. Step 6: Final answer
    x = 753.14

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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.