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Finding the Fourth Proportional to 1,029.86, 1,544.49 and 405.05

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Solution

The fourth proportional to 1,029.86, 1,544.49 and 405.05 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.86 : 1,544.49 = 405.05 : x
  2. Step 2: Convert to fraction form
    1,029.86/1,544.49 = 405.05/x
  3. Step 3: Cross multiply
    1,029.86x = 1,544.49 × 405.05
  4. Step 4: Simplify right side
    1,029.86x = 625,595.67
  5. Step 5: Solve for x
    x = 625,595.67/1,029.86
  6. Step 6: Final answer
    x = 607.46

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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.