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Finding the Fourth Proportional to 1,597.07, 2,395.42 and 427.16

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Solution

The fourth proportional to 1,597.07, 2,395.42 and 427.16 is: 640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.07 : 2,395.42 = 427.16 : x
  2. Step 2: Convert to fraction form
    1,597.07/2,395.42 = 427.16/x
  3. Step 3: Cross multiply
    1,597.07x = 2,395.42 × 427.16
  4. Step 4: Simplify right side
    1,597.07x = 1,023,232.53
  5. Step 5: Solve for x
    x = 1,023,232.53/1,597.07
  6. Step 6: Final answer
    x = 640.69

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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.