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Finding the Fourth Proportional to 1,111.08, 1,665.48 and 417.62

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Solution

The fourth proportional to 1,111.08, 1,665.48 and 417.62 is: 626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.08 : 1,665.48 = 417.62 : x
  2. Step 2: Convert to fraction form
    1,111.08/1,665.48 = 417.62/x
  3. Step 3: Cross multiply
    1,111.08x = 1,665.48 × 417.62
  4. Step 4: Simplify right side
    1,111.08x = 695,537.76
  5. Step 5: Solve for x
    x = 695,537.76/1,111.08
  6. Step 6: Final answer
    x = 626.00

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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.