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Finding the Fourth Proportional to 1,111.29, 1,665.54 and 526.29

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Solution

The fourth proportional to 1,111.29, 1,665.54 and 526.29 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.29 : 1,665.54 = 526.29 : x
  2. Step 2: Convert to fraction form
    1,111.29/1,665.54 = 526.29/x
  3. Step 3: Cross multiply
    1,111.29x = 1,665.54 × 526.29
  4. Step 4: Simplify right side
    1,111.29x = 876,557.05
  5. Step 5: Solve for x
    x = 876,557.05/1,111.29
  6. Step 6: Final answer
    x = 788.77

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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.