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Finding the Fourth Proportional to 978.16, 1,465.47 and 538.94

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Solution

The fourth proportional to 978.16, 1,465.47 and 538.94 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.16 : 1,465.47 = 538.94 : x
  2. Step 2: Convert to fraction form
    978.16/1,465.47 = 538.94/x
  3. Step 3: Cross multiply
    978.16x = 1,465.47 × 538.94
  4. Step 4: Simplify right side
    978.16x = 789,793.07
  5. Step 5: Solve for x
    x = 789,793.07/978.16
  6. Step 6: Final answer
    x = 807.43

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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.