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Finding the Fourth Proportional to 981.54, 1,470.77 and 365.10

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Solution

The fourth proportional to 981.54, 1,470.77 and 365.10 is: 547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.54 : 1,470.77 = 365.10 : x
  2. Step 2: Convert to fraction form
    981.54/1,470.77 = 365.10/x
  3. Step 3: Cross multiply
    981.54x = 1,470.77 × 365.10
  4. Step 4: Simplify right side
    981.54x = 536,978.13
  5. Step 5: Solve for x
    x = 536,978.13/981.54
  6. Step 6: Final answer
    x = 547.08

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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.