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Finding the Fourth Proportional to 1,597.05, 2,395.71 and 501.39

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Solution

The fourth proportional to 1,597.05, 2,395.71 and 501.39 is: 752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.05 : 2,395.71 = 501.39 : x
  2. Step 2: Convert to fraction form
    1,597.05/2,395.71 = 501.39/x
  3. Step 3: Cross multiply
    1,597.05x = 2,395.71 × 501.39
  4. Step 4: Simplify right side
    1,597.05x = 1,201,185.04
  5. Step 5: Solve for x
    x = 1,201,185.04/1,597.05
  6. Step 6: Final answer
    x = 752.13

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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.