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Finding the Fourth Proportional to 1,005.48, 1,507.63 and 419.85

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Solution

The fourth proportional to 1,005.48, 1,507.63 and 419.85 is: 629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.48 : 1,507.63 = 419.85 : x
  2. Step 2: Convert to fraction form
    1,005.48/1,507.63 = 419.85/x
  3. Step 3: Cross multiply
    1,005.48x = 1,507.63 × 419.85
  4. Step 4: Simplify right side
    1,005.48x = 632,970.92
  5. Step 5: Solve for x
    x = 632,970.92/1,005.48
  6. Step 6: Final answer
    x = 629.52

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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.