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Finding the Fourth Proportional to 1,114.58, 1,538.15 and 722.29

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Solution

The fourth proportional to 1,114.58, 1,538.15 and 722.29 is: 996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.58 : 1,538.15 = 722.29 : x
  2. Step 2: Convert to fraction form
    1,114.58/1,538.15 = 722.29/x
  3. Step 3: Cross multiply
    1,114.58x = 1,538.15 × 722.29
  4. Step 4: Simplify right side
    1,114.58x = 1,110,979.06
  5. Step 5: Solve for x
    x = 1,110,979.06/1,114.58
  6. Step 6: Final answer
    x = 996.77

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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.