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Finding the Fourth Proportional to 978.05, 1,464.75 and 849.11

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Solution

The fourth proportional to 978.05, 1,464.75 and 849.11 is: 1,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.05 : 1,464.75 = 849.11 : x
  2. Step 2: Convert to fraction form
    978.05/1,464.75 = 849.11/x
  3. Step 3: Cross multiply
    978.05x = 1,464.75 × 849.11
  4. Step 4: Simplify right side
    978.05x = 1,243,726.55
  5. Step 5: Solve for x
    x = 1,243,726.55/978.05
  6. Step 6: Final answer
    x = 1,271.65

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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.