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Finding the Fourth Proportional to 899.36, 1,343.20 and 849.68

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Solution

The fourth proportional to 899.36, 1,343.20 and 849.68 is: 1,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.36 : 1,343.20 = 849.68 : x
  2. Step 2: Convert to fraction form
    899.36/1,343.20 = 849.68/x
  3. Step 3: Cross multiply
    899.36x = 1,343.20 × 849.68
  4. Step 4: Simplify right side
    899.36x = 1,141,290.18
  5. Step 5: Solve for x
    x = 1,141,290.18/899.36
  6. Step 6: Final answer
    x = 1,269.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.