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Finding the Fourth Proportional to 940.66, 1,297.32 and 705.16

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Solution

The fourth proportional to 940.66, 1,297.32 and 705.16 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.66 : 1,297.32 = 705.16 : x
  2. Step 2: Convert to fraction form
    940.66/1,297.32 = 705.16/x
  3. Step 3: Cross multiply
    940.66x = 1,297.32 × 705.16
  4. Step 4: Simplify right side
    940.66x = 914,821.12
  5. Step 5: Solve for x
    x = 914,821.12/940.66
  6. Step 6: Final answer
    x = 972.53

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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.