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Finding the Fourth Proportional to 1,603.57, 2,405.43 and 507.83

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Solution

The fourth proportional to 1,603.57, 2,405.43 and 507.83 is: 761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.57 : 2,405.43 = 507.83 : x
  2. Step 2: Convert to fraction form
    1,603.57/2,405.43 = 507.83/x
  3. Step 3: Cross multiply
    1,603.57x = 2,405.43 × 507.83
  4. Step 4: Simplify right side
    1,603.57x = 1,221,556.55
  5. Step 5: Solve for x
    x = 1,221,556.55/1,603.57
  6. Step 6: Final answer
    x = 761.77

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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.