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Finding the Fourth Proportional to 947.51, 1,306.96 and 554.25

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Solution

The fourth proportional to 947.51, 1,306.96 and 554.25 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.51 : 1,306.96 = 554.25 : x
  2. Step 2: Convert to fraction form
    947.51/1,306.96 = 554.25/x
  3. Step 3: Cross multiply
    947.51x = 1,306.96 × 554.25
  4. Step 4: Simplify right side
    947.51x = 724,382.58
  5. Step 5: Solve for x
    x = 724,382.58/947.51
  6. Step 6: Final answer
    x = 764.51

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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.