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Finding the Fourth Proportional to 978.39, 1,465.66 and 735.19

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Solution

The fourth proportional to 978.39, 1,465.66 and 735.19 is: 1,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.39 : 1,465.66 = 735.19 : x
  2. Step 2: Convert to fraction form
    978.39/1,465.66 = 735.19/x
  3. Step 3: Cross multiply
    978.39x = 1,465.66 × 735.19
  4. Step 4: Simplify right side
    978.39x = 1,077,538.58
  5. Step 5: Solve for x
    x = 1,077,538.58/978.39
  6. Step 6: Final answer
    x = 1,101.34

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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.