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Finding the Fourth Proportional to 1,093.84, 1,632.30 and 977.03

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Solution

The fourth proportional to 1,093.84, 1,632.30 and 977.03 is: 1,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.84 : 1,632.30 = 977.03 : x
  2. Step 2: Convert to fraction form
    1,093.84/1,632.30 = 977.03/x
  3. Step 3: Cross multiply
    1,093.84x = 1,632.30 × 977.03
  4. Step 4: Simplify right side
    1,093.84x = 1,594,806.07
  5. Step 5: Solve for x
    x = 1,594,806.07/1,093.84
  6. Step 6: Final answer
    x = 1,457.99

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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.