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Finding the Fourth Proportional to 1,046.60, 1,436.60 and 925.94

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Solution

The fourth proportional to 1,046.60, 1,436.60 and 925.94 is: 1,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.60 : 1,436.60 = 925.94 : x
  2. Step 2: Convert to fraction form
    1,046.60/1,436.60 = 925.94/x
  3. Step 3: Cross multiply
    1,046.60x = 1,436.60 × 925.94
  4. Step 4: Simplify right side
    1,046.60x = 1,330,205.40
  5. Step 5: Solve for x
    x = 1,330,205.40/1,046.60
  6. Step 6: Final answer
    x = 1,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.