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Finding the Fourth Proportional to 1,006.41, 1,509.95 and 313.23

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Solution

The fourth proportional to 1,006.41, 1,509.95 and 313.23 is: 469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 1,509.95 = 313.23 : x
  2. Step 2: Convert to fraction form
    1,006.41/1,509.95 = 313.23/x
  3. Step 3: Cross multiply
    1,006.41x = 1,509.95 × 313.23
  4. Step 4: Simplify right side
    1,006.41x = 472,961.64
  5. Step 5: Solve for x
    x = 472,961.64/1,006.41
  6. Step 6: Final answer
    x = 469.95

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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.