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Finding the Fourth Proportional to 899.73, 1,349.70 and 283.52

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Solution

The fourth proportional to 899.73, 1,349.70 and 283.52 is: 425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.73 : 1,349.70 = 283.52 : x
  2. Step 2: Convert to fraction form
    899.73/1,349.70 = 283.52/x
  3. Step 3: Cross multiply
    899.73x = 1,349.70 × 283.52
  4. Step 4: Simplify right side
    899.73x = 382,669.26
  5. Step 5: Solve for x
    x = 382,669.26/899.73
  6. Step 6: Final answer
    x = 425.32

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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.