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Finding the Fourth Proportional to 1,006.36, 1,509.30 and 458.28

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Solution

The fourth proportional to 1,006.36, 1,509.30 and 458.28 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.36 : 1,509.30 = 458.28 : x
  2. Step 2: Convert to fraction form
    1,006.36/1,509.30 = 458.28/x
  3. Step 3: Cross multiply
    1,006.36x = 1,509.30 × 458.28
  4. Step 4: Simplify right side
    1,006.36x = 691,682.00
  5. Step 5: Solve for x
    x = 691,682.00/1,006.36
  6. Step 6: Final answer
    x = 687.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.