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Finding the Fourth Proportional to 946.18, 1,410.95 and 925.26

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Solution

The fourth proportional to 946.18, 1,410.95 and 925.26 is: 1,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.18 : 1,410.95 = 925.26 : x
  2. Step 2: Convert to fraction form
    946.18/1,410.95 = 925.26/x
  3. Step 3: Cross multiply
    946.18x = 1,410.95 × 925.26
  4. Step 4: Simplify right side
    946.18x = 1,305,495.60
  5. Step 5: Solve for x
    x = 1,305,495.60/946.18
  6. Step 6: Final answer
    x = 1,379.75

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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.