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Finding the Fourth Proportional to 1,603.24, 2,404.59 and 507.36

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Solution

The fourth proportional to 1,603.24, 2,404.59 and 507.36 is: 760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.24 : 2,404.59 = 507.36 : x
  2. Step 2: Convert to fraction form
    1,603.24/2,404.59 = 507.36/x
  3. Step 3: Cross multiply
    1,603.24x = 2,404.59 × 507.36
  4. Step 4: Simplify right side
    1,603.24x = 1,219,999.90
  5. Step 5: Solve for x
    x = 1,219,999.90/1,603.24
  6. Step 6: Final answer
    x = 760.96

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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.