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Finding the Fourth Proportional to 1,005.36, 1,508.01 and 355.95

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Solution

The fourth proportional to 1,005.36, 1,508.01 and 355.95 is: 533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.36 : 1,508.01 = 355.95 : x
  2. Step 2: Convert to fraction form
    1,005.36/1,508.01 = 355.95/x
  3. Step 3: Cross multiply
    1,005.36x = 1,508.01 × 355.95
  4. Step 4: Simplify right side
    1,005.36x = 536,776.16
  5. Step 5: Solve for x
    x = 536,776.16/1,005.36
  6. Step 6: Final answer
    x = 533.91

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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.