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Finding the Fourth Proportional to 1,093.32, 1,638.15 and 476.10

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Solution

The fourth proportional to 1,093.32, 1,638.15 and 476.10 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.32 : 1,638.15 = 476.10 : x
  2. Step 2: Convert to fraction form
    1,093.32/1,638.15 = 476.10/x
  3. Step 3: Cross multiply
    1,093.32x = 1,638.15 × 476.10
  4. Step 4: Simplify right side
    1,093.32x = 779,923.22
  5. Step 5: Solve for x
    x = 779,923.22/1,093.32
  6. Step 6: Final answer
    x = 713.35

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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.