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Finding the Fourth Proportional to 947.41, 1,307.49 and 549.19

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Solution

The fourth proportional to 947.41, 1,307.49 and 549.19 is: 757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.41 : 1,307.49 = 549.19 : x
  2. Step 2: Convert to fraction form
    947.41/1,307.49 = 549.19/x
  3. Step 3: Cross multiply
    947.41x = 1,307.49 × 549.19
  4. Step 4: Simplify right side
    947.41x = 718,057.69
  5. Step 5: Solve for x
    x = 718,057.69/947.41
  6. Step 6: Final answer
    x = 757.92

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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.