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Finding the Fourth Proportional to 1,078.32, 1,616 and 707.36

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Solution

The fourth proportional to 1,078.32, 1,616 and 707.36 is: 1,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.32 : 1,616 = 707.36 : x
  2. Step 2: Convert to fraction form
    1,078.32/1,616 = 707.36/x
  3. Step 3: Cross multiply
    1,078.32x = 1,616 × 707.36
  4. Step 4: Simplify right side
    1,078.32x = 1,143,093.76
  5. Step 5: Solve for x
    x = 1,143,093.76/1,078.32
  6. Step 6: Final answer
    x = 1,060.07

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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.