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Finding the Fourth Proportional to 1,323.62, 1,985.88 and 502.13

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Solution

The fourth proportional to 1,323.62, 1,985.88 and 502.13 is: 753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.62 : 1,985.88 = 502.13 : x
  2. Step 2: Convert to fraction form
    1,323.62/1,985.88 = 502.13/x
  3. Step 3: Cross multiply
    1,323.62x = 1,985.88 × 502.13
  4. Step 4: Simplify right side
    1,323.62x = 997,173.01
  5. Step 5: Solve for x
    x = 997,173.01/1,323.62
  6. Step 6: Final answer
    x = 753.37

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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.