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Finding the Fourth Proportional to 1,194.71, 1,649.51 and 914.45

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Solution

The fourth proportional to 1,194.71, 1,649.51 and 914.45 is: 1,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.71 : 1,649.51 = 914.45 : x
  2. Step 2: Convert to fraction form
    1,194.71/1,649.51 = 914.45/x
  3. Step 3: Cross multiply
    1,194.71x = 1,649.51 × 914.45
  4. Step 4: Simplify right side
    1,194.71x = 1,508,381.60
  5. Step 5: Solve for x
    x = 1,508,381.60/1,194.71
  6. Step 6: Final answer
    x = 1,262.55

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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.