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Finding the Fourth Proportional to 1,509.86, 2,264.96 and 469.62

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Solution

The fourth proportional to 1,509.86, 2,264.96 and 469.62 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.86 : 2,264.96 = 469.62 : x
  2. Step 2: Convert to fraction form
    1,509.86/2,264.96 = 469.62/x
  3. Step 3: Cross multiply
    1,509.86x = 2,264.96 × 469.62
  4. Step 4: Simplify right side
    1,509.86x = 1,063,671.69
  5. Step 5: Solve for x
    x = 1,063,671.69/1,509.86
  6. Step 6: Final answer
    x = 704.48

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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.