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Finding the Fourth Proportional to 978.96, 1,465.68 and 782.96

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Solution

The fourth proportional to 978.96, 1,465.68 and 782.96 is: 1,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.96 : 1,465.68 = 782.96 : x
  2. Step 2: Convert to fraction form
    978.96/1,465.68 = 782.96/x
  3. Step 3: Cross multiply
    978.96x = 1,465.68 × 782.96
  4. Step 4: Simplify right side
    978.96x = 1,147,568.81
  5. Step 5: Solve for x
    x = 1,147,568.81/978.96
  6. Step 6: Final answer
    x = 1,172.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.