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Finding the Fourth Proportional to 1,006.28, 1,509.55 and 313

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Solution

The fourth proportional to 1,006.28, 1,509.55 and 313 is: 469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.28 : 1,509.55 = 313 : x
  2. Step 2: Convert to fraction form
    1,006.28/1,509.55 = 313/x
  3. Step 3: Cross multiply
    1,006.28x = 1,509.55 × 313
  4. Step 4: Simplify right side
    1,006.28x = 472,489.15
  5. Step 5: Solve for x
    x = 472,489.15/1,006.28
  6. Step 6: Final answer
    x = 469.54

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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.