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Finding the Fourth Proportional to 1,006.07, 1,509.25 and 312.79

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Solution

The fourth proportional to 1,006.07, 1,509.25 and 312.79 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.07 : 1,509.25 = 312.79 : x
  2. Step 2: Convert to fraction form
    1,006.07/1,509.25 = 312.79/x
  3. Step 3: Cross multiply
    1,006.07x = 1,509.25 × 312.79
  4. Step 4: Simplify right side
    1,006.07x = 472,077.53
  5. Step 5: Solve for x
    x = 472,077.53/1,006.07
  6. Step 6: Final answer
    x = 469.23

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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.