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Finding the Fourth Proportional to 1,145.92, 1,725.04 and 978.88

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Solution

The fourth proportional to 1,145.92, 1,725.04 and 978.88 is: 1,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.92 : 1,725.04 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,145.92/1,725.04 = 978.88/x
  3. Step 3: Cross multiply
    1,145.92x = 1,725.04 × 978.88
  4. Step 4: Simplify right side
    1,145.92x = 1,688,607.16
  5. Step 5: Solve for x
    x = 1,688,607.16/1,145.92
  6. Step 6: Final answer
    x = 1,473.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.