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Finding the Fourth Proportional to 1,314.48, 1,971.60 and 766.32

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Solution

The fourth proportional to 1,314.48, 1,971.60 and 766.32 is: 1,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.48 : 1,971.60 = 766.32 : x
  2. Step 2: Convert to fraction form
    1,314.48/1,971.60 = 766.32/x
  3. Step 3: Cross multiply
    1,314.48x = 1,971.60 × 766.32
  4. Step 4: Simplify right side
    1,314.48x = 1,510,876.51
  5. Step 5: Solve for x
    x = 1,510,876.51/1,314.48
  6. Step 6: Final answer
    x = 1,149.41

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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.