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Finding the Fourth Proportional to 978.84, 1,466.33 and 732.35

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Solution

The fourth proportional to 978.84, 1,466.33 and 732.35 is: 1,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.84 : 1,466.33 = 732.35 : x
  2. Step 2: Convert to fraction form
    978.84/1,466.33 = 732.35/x
  3. Step 3: Cross multiply
    978.84x = 1,466.33 × 732.35
  4. Step 4: Simplify right side
    978.84x = 1,073,863.11
  5. Step 5: Solve for x
    x = 1,073,863.11/978.84
  6. Step 6: Final answer
    x = 1,097.08

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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.