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Finding the Fourth Proportional to 899.91, 1,349.82 and 412.95

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Solution

The fourth proportional to 899.91, 1,349.82 and 412.95 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.91 : 1,349.82 = 412.95 : x
  2. Step 2: Convert to fraction form
    899.91/1,349.82 = 412.95/x
  3. Step 3: Cross multiply
    899.91x = 1,349.82 × 412.95
  4. Step 4: Simplify right side
    899.91x = 557,408.17
  5. Step 5: Solve for x
    x = 557,408.17/899.91
  6. Step 6: Final answer
    x = 619.40

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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.