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Finding the Fourth Proportional to 1,161.32, 1,602.72 and 637.45

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Solution

The fourth proportional to 1,161.32, 1,602.72 and 637.45 is: 879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.32 : 1,602.72 = 637.45 : x
  2. Step 2: Convert to fraction form
    1,161.32/1,602.72 = 637.45/x
  3. Step 3: Cross multiply
    1,161.32x = 1,602.72 × 637.45
  4. Step 4: Simplify right side
    1,161.32x = 1,021,645.85
  5. Step 5: Solve for x
    x = 1,021,645.85/1,161.32
  6. Step 6: Final answer
    x = 879.73

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1.5x scale

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.