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Finding the Fourth Proportional to 1,597.35, 2,395.20 and 501.42

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Solution

The fourth proportional to 1,597.35, 2,395.20 and 501.42 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.35 : 2,395.20 = 501.42 : x
  2. Step 2: Convert to fraction form
    1,597.35/2,395.20 = 501.42/x
  3. Step 3: Cross multiply
    1,597.35x = 2,395.20 × 501.42
  4. Step 4: Simplify right side
    1,597.35x = 1,201,001.18
  5. Step 5: Solve for x
    x = 1,201,001.18/1,597.35
  6. Step 6: Final answer
    x = 751.87

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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.