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Finding the Fourth Proportional to 947.19, 1,306.93 and 554.14

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Solution

The fourth proportional to 947.19, 1,306.93 and 554.14 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.19 : 1,306.93 = 554.14 : x
  2. Step 2: Convert to fraction form
    947.19/1,306.93 = 554.14/x
  3. Step 3: Cross multiply
    947.19x = 1,306.93 × 554.14
  4. Step 4: Simplify right side
    947.19x = 724,222.19
  5. Step 5: Solve for x
    x = 724,222.19/947.19
  6. Step 6: Final answer
    x = 764.60

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Half scale
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Double scale
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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.