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Finding the Fourth Proportional to 1,045.60, 1,441.69 and 858.49

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Solution

The fourth proportional to 1,045.60, 1,441.69 and 858.49 is: 1,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.60 : 1,441.69 = 858.49 : x
  2. Step 2: Convert to fraction form
    1,045.60/1,441.69 = 858.49/x
  3. Step 3: Cross multiply
    1,045.60x = 1,441.69 × 858.49
  4. Step 4: Simplify right side
    1,045.60x = 1,237,670.70
  5. Step 5: Solve for x
    x = 1,237,670.70/1,045.60
  6. Step 6: Final answer
    x = 1,183.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.