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Finding the Fourth Proportional to 1,607.06, 2,410.86 and 511.42

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Solution

The fourth proportional to 1,607.06, 2,410.86 and 511.42 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.06 : 2,410.86 = 511.42 : x
  2. Step 2: Convert to fraction form
    1,607.06/2,410.86 = 511.42/x
  3. Step 3: Cross multiply
    1,607.06x = 2,410.86 × 511.42
  4. Step 4: Simplify right side
    1,607.06x = 1,232,962.02
  5. Step 5: Solve for x
    x = 1,232,962.02/1,607.06
  6. Step 6: Final answer
    x = 767.22

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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.