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Finding the Fourth Proportional to 922.34, 1,272.42 and 549.14

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Solution

The fourth proportional to 922.34, 1,272.42 and 549.14 is: 757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.34 : 1,272.42 = 549.14 : x
  2. Step 2: Convert to fraction form
    922.34/1,272.42 = 549.14/x
  3. Step 3: Cross multiply
    922.34x = 1,272.42 × 549.14
  4. Step 4: Simplify right side
    922.34x = 698,730.36
  5. Step 5: Solve for x
    x = 698,730.36/922.34
  6. Step 6: Final answer
    x = 757.57

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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.