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Finding the Fourth Proportional to 1,106.13, 1,526.66 and 775.05

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Solution

The fourth proportional to 1,106.13, 1,526.66 and 775.05 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,526.66 = 775.05 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,526.66 = 775.05/x
  3. Step 3: Cross multiply
    1,106.13x = 1,526.66 × 775.05
  4. Step 4: Simplify right side
    1,106.13x = 1,183,237.83
  5. Step 5: Solve for x
    x = 1,183,237.83/1,106.13
  6. Step 6: Final answer
    x = 1,069.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.