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Finding the Fourth Proportional to 978.42, 1,459.17 and 833.07

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Solution

The fourth proportional to 978.42, 1,459.17 and 833.07 is: 1,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.42 : 1,459.17 = 833.07 : x
  2. Step 2: Convert to fraction form
    978.42/1,459.17 = 833.07/x
  3. Step 3: Cross multiply
    978.42x = 1,459.17 × 833.07
  4. Step 4: Simplify right side
    978.42x = 1,215,590.75
  5. Step 5: Solve for x
    x = 1,215,590.75/978.42
  6. Step 6: Final answer
    x = 1,242.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.