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Finding the Fourth Proportional to 1,245.62, 1,868.31 and 899.57

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Solution

The fourth proportional to 1,245.62, 1,868.31 and 899.57 is: 1,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.62 : 1,868.31 = 899.57 : x
  2. Step 2: Convert to fraction form
    1,245.62/1,868.31 = 899.57/x
  3. Step 3: Cross multiply
    1,245.62x = 1,868.31 × 899.57
  4. Step 4: Simplify right side
    1,245.62x = 1,680,666.29
  5. Step 5: Solve for x
    x = 1,680,666.29/1,245.62
  6. Step 6: Final answer
    x = 1,349.27

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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.