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Finding the Fourth Proportional to 1,214.55, 1,675.49 and 794.72

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Solution

The fourth proportional to 1,214.55, 1,675.49 and 794.72 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.55 : 1,675.49 = 794.72 : x
  2. Step 2: Convert to fraction form
    1,214.55/1,675.49 = 794.72/x
  3. Step 3: Cross multiply
    1,214.55x = 1,675.49 × 794.72
  4. Step 4: Simplify right side
    1,214.55x = 1,331,533.06
  5. Step 5: Solve for x
    x = 1,331,533.06/1,214.55
  6. Step 6: Final answer
    x = 1,096.32

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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.