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Finding the Fourth Proportional to 1,005.58, 1,508.32 and 275.14

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Solution

The fourth proportional to 1,005.58, 1,508.32 and 275.14 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.58 : 1,508.32 = 275.14 : x
  2. Step 2: Convert to fraction form
    1,005.58/1,508.32 = 275.14/x
  3. Step 3: Cross multiply
    1,005.58x = 1,508.32 × 275.14
  4. Step 4: Simplify right side
    1,005.58x = 414,999.16
  5. Step 5: Solve for x
    x = 414,999.16/1,005.58
  6. Step 6: Final answer
    x = 412.70

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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.