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Finding the Fourth Proportional to 1,602.24, 2,400.58 and 779.46

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Solution

The fourth proportional to 1,602.24, 2,400.58 and 779.46 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.24 : 2,400.58 = 779.46 : x
  2. Step 2: Convert to fraction form
    1,602.24/2,400.58 = 779.46/x
  3. Step 3: Cross multiply
    1,602.24x = 2,400.58 × 779.46
  4. Step 4: Simplify right side
    1,602.24x = 1,871,156.09
  5. Step 5: Solve for x
    x = 1,871,156.09/1,602.24
  6. Step 6: Final answer
    x = 1,167.84

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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.