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Finding the Fourth Proportional to 1,607.17, 2,410.90 and 437.24

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Solution

The fourth proportional to 1,607.17, 2,410.90 and 437.24 is: 655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.17 : 2,410.90 = 437.24 : x
  2. Step 2: Convert to fraction form
    1,607.17/2,410.90 = 437.24/x
  3. Step 3: Cross multiply
    1,607.17x = 2,410.90 × 437.24
  4. Step 4: Simplify right side
    1,607.17x = 1,054,141.92
  5. Step 5: Solve for x
    x = 1,054,141.92/1,607.17
  6. Step 6: Final answer
    x = 655.90

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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.