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Finding the Fourth Proportional to 1,325.23, 1,988.12 and 503.35

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Solution

The fourth proportional to 1,325.23, 1,988.12 and 503.35 is: 755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.23 : 1,988.12 = 503.35 : x
  2. Step 2: Convert to fraction form
    1,325.23/1,988.12 = 503.35/x
  3. Step 3: Cross multiply
    1,325.23x = 1,988.12 × 503.35
  4. Step 4: Simplify right side
    1,325.23x = 1,000,720.20
  5. Step 5: Solve for x
    x = 1,000,720.20/1,325.23
  6. Step 6: Final answer
    x = 755.13

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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.