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Finding the Fourth Proportional to 1,005.37, 1,507.71 and 311.95

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Solution

The fourth proportional to 1,005.37, 1,507.71 and 311.95 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.37 : 1,507.71 = 311.95 : x
  2. Step 2: Convert to fraction form
    1,005.37/1,507.71 = 311.95/x
  3. Step 3: Cross multiply
    1,005.37x = 1,507.71 × 311.95
  4. Step 4: Simplify right side
    1,005.37x = 470,330.13
  5. Step 5: Solve for x
    x = 470,330.13/1,005.37
  6. Step 6: Final answer
    x = 467.82

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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.