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Finding the Fourth Proportional to 1,005.91, 1,509.18 and 303.15

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Solution

The fourth proportional to 1,005.91, 1,509.18 and 303.15 is: 454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.91 : 1,509.18 = 303.15 : x
  2. Step 2: Convert to fraction form
    1,005.91/1,509.18 = 303.15/x
  3. Step 3: Cross multiply
    1,005.91x = 1,509.18 × 303.15
  4. Step 4: Simplify right side
    1,005.91x = 457,507.92
  5. Step 5: Solve for x
    x = 457,507.92/1,005.91
  6. Step 6: Final answer
    x = 454.82

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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.