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Finding the Fourth Proportional to 981.45, 1,353.65 and 670.77

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Solution

The fourth proportional to 981.45, 1,353.65 and 670.77 is: 925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.45 : 1,353.65 = 670.77 : x
  2. Step 2: Convert to fraction form
    981.45/1,353.65 = 670.77/x
  3. Step 3: Cross multiply
    981.45x = 1,353.65 × 670.77
  4. Step 4: Simplify right side
    981.45x = 907,984.46
  5. Step 5: Solve for x
    x = 907,984.46/981.45
  6. Step 6: Final answer
    x = 925.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.