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Finding the Fourth Proportional to 899.49, 1,349.23 and 734.78

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Solution

The fourth proportional to 899.49, 1,349.23 and 734.78 is: 1,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.49 : 1,349.23 = 734.78 : x
  2. Step 2: Convert to fraction form
    899.49/1,349.23 = 734.78/x
  3. Step 3: Cross multiply
    899.49x = 1,349.23 × 734.78
  4. Step 4: Simplify right side
    899.49x = 991,376.80
  5. Step 5: Solve for x
    x = 991,376.80/899.49
  6. Step 6: Final answer
    x = 1,102.16

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.