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Finding the Fourth Proportional to 1,607.96, 2,412.12 and 512.07

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Solution

The fourth proportional to 1,607.96, 2,412.12 and 512.07 is: 768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.96 : 2,412.12 = 512.07 : x
  2. Step 2: Convert to fraction form
    1,607.96/2,412.12 = 512.07/x
  3. Step 3: Cross multiply
    1,607.96x = 2,412.12 × 512.07
  4. Step 4: Simplify right side
    1,607.96x = 1,235,174.29
  5. Step 5: Solve for x
    x = 1,235,174.29/1,607.96
  6. Step 6: Final answer
    x = 768.16

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1.5x scale

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.