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Finding the Fourth Proportional to 1,603.08, 2,404.92 and 507.15

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Solution

The fourth proportional to 1,603.08, 2,404.92 and 507.15 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.08 : 2,404.92 = 507.15 : x
  2. Step 2: Convert to fraction form
    1,603.08/2,404.92 = 507.15/x
  3. Step 3: Cross multiply
    1,603.08x = 2,404.92 × 507.15
  4. Step 4: Simplify right side
    1,603.08x = 1,219,655.18
  5. Step 5: Solve for x
    x = 1,219,655.18/1,603.08
  6. Step 6: Final answer
    x = 760.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.