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Finding the Fourth Proportional to 1,085.55, 1,628.32 and 903.08

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Solution

The fourth proportional to 1,085.55, 1,628.32 and 903.08 is: 1,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.55 : 1,628.32 = 903.08 : x
  2. Step 2: Convert to fraction form
    1,085.55/1,628.32 = 903.08/x
  3. Step 3: Cross multiply
    1,085.55x = 1,628.32 × 903.08
  4. Step 4: Simplify right side
    1,085.55x = 1,470,503.23
  5. Step 5: Solve for x
    x = 1,470,503.23/1,085.55
  6. Step 6: Final answer
    x = 1,354.62

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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.