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Finding the Fourth Proportional to 1,131.54, 1,561.56 and 634.32

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Solution

The fourth proportional to 1,131.54, 1,561.56 and 634.32 is: 875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.54 : 1,561.56 = 634.32 : x
  2. Step 2: Convert to fraction form
    1,131.54/1,561.56 = 634.32/x
  3. Step 3: Cross multiply
    1,131.54x = 1,561.56 × 634.32
  4. Step 4: Simplify right side
    1,131.54x = 990,528.74
  5. Step 5: Solve for x
    x = 990,528.74/1,131.54
  6. Step 6: Final answer
    x = 875.38

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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.