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Finding the Fourth Proportional to 953.54, 1,314.60 and 714.06

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Solution

The fourth proportional to 953.54, 1,314.60 and 714.06 is: 984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.54 : 1,314.60 = 714.06 : x
  2. Step 2: Convert to fraction form
    953.54/1,314.60 = 714.06/x
  3. Step 3: Cross multiply
    953.54x = 1,314.60 × 714.06
  4. Step 4: Simplify right side
    953.54x = 938,703.28
  5. Step 5: Solve for x
    x = 938,703.28/953.54
  6. Step 6: Final answer
    x = 984.44

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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.