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Finding the Fourth Proportional to 1,085.95, 1,624.74 and 913.15

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Solution

The fourth proportional to 1,085.95, 1,624.74 and 913.15 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.95 : 1,624.74 = 913.15 : x
  2. Step 2: Convert to fraction form
    1,085.95/1,624.74 = 913.15/x
  3. Step 3: Cross multiply
    1,085.95x = 1,624.74 × 913.15
  4. Step 4: Simplify right side
    1,085.95x = 1,483,631.33
  5. Step 5: Solve for x
    x = 1,483,631.33/1,085.95
  6. Step 6: Final answer
    x = 1,366.21

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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.