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Finding the Fourth Proportional to 981.78, 1,473.54 and 570.36

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Solution

The fourth proportional to 981.78, 1,473.54 and 570.36 is: 856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.78 : 1,473.54 = 570.36 : x
  2. Step 2: Convert to fraction form
    981.78/1,473.54 = 570.36/x
  3. Step 3: Cross multiply
    981.78x = 1,473.54 × 570.36
  4. Step 4: Simplify right side
    981.78x = 840,448.27
  5. Step 5: Solve for x
    x = 840,448.27/981.78
  6. Step 6: Final answer
    x = 856.05

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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.