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Finding the Fourth Proportional to 899.64, 1,349.64 and 283.50

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Solution

The fourth proportional to 899.64, 1,349.64 and 283.50 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,349.64 = 283.50 : x
  2. Step 2: Convert to fraction form
    899.64/1,349.64 = 283.50/x
  3. Step 3: Cross multiply
    899.64x = 1,349.64 × 283.50
  4. Step 4: Simplify right side
    899.64x = 382,622.94
  5. Step 5: Solve for x
    x = 382,622.94/899.64
  6. Step 6: Final answer
    x = 425.31

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Double scale
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Similar ratio
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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.