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Finding the Fourth Proportional to 1,603.64, 2,405.64 and 507.80

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Solution

The fourth proportional to 1,603.64, 2,405.64 and 507.80 is: 761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.64 : 2,405.64 = 507.80 : x
  2. Step 2: Convert to fraction form
    1,603.64/2,405.64 = 507.80/x
  3. Step 3: Cross multiply
    1,603.64x = 2,405.64 × 507.80
  4. Step 4: Simplify right side
    1,603.64x = 1,221,583.99
  5. Step 5: Solve for x
    x = 1,221,583.99/1,603.64
  6. Step 6: Final answer
    x = 761.76

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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.