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Finding the Fourth Proportional to 1,602.86, 2,404.11 and 507.23

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Solution

The fourth proportional to 1,602.86, 2,404.11 and 507.23 is: 760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.86 : 2,404.11 = 507.23 : x
  2. Step 2: Convert to fraction form
    1,602.86/2,404.11 = 507.23/x
  3. Step 3: Cross multiply
    1,602.86x = 2,404.11 × 507.23
  4. Step 4: Simplify right side
    1,602.86x = 1,219,436.72
  5. Step 5: Solve for x
    x = 1,219,436.72/1,602.86
  6. Step 6: Final answer
    x = 760.79

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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.