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Finding the Fourth Proportional to 1,110.10, 1,665.80 and 417.26

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Solution

The fourth proportional to 1,110.10, 1,665.80 and 417.26 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.10 : 1,665.80 = 417.26 : x
  2. Step 2: Convert to fraction form
    1,110.10/1,665.80 = 417.26/x
  3. Step 3: Cross multiply
    1,110.10x = 1,665.80 × 417.26
  4. Step 4: Simplify right side
    1,110.10x = 695,071.71
  5. Step 5: Solve for x
    x = 695,071.71/1,110.10
  6. Step 6: Final answer
    x = 626.13

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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.