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Finding the Fourth Proportional to 1,085.08, 1,618.48 and 909.72

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Solution

The fourth proportional to 1,085.08, 1,618.48 and 909.72 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.08 : 1,618.48 = 909.72 : x
  2. Step 2: Convert to fraction form
    1,085.08/1,618.48 = 909.72/x
  3. Step 3: Cross multiply
    1,085.08x = 1,618.48 × 909.72
  4. Step 4: Simplify right side
    1,085.08x = 1,472,363.63
  5. Step 5: Solve for x
    x = 1,472,363.63/1,085.08
  6. Step 6: Final answer
    x = 1,356.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.