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Finding the Fourth Proportional to 967, 1,334.64 and 553

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Solution

The fourth proportional to 967, 1,334.64 and 553 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,334.64 = 553 : x
  2. Step 2: Convert to fraction form
    967/1,334.64 = 553/x
  3. Step 3: Cross multiply
    967x = 1,334.64 × 553
  4. Step 4: Simplify right side
    967x = 738,055.92
  5. Step 5: Solve for x
    x = 738,055.92/967
  6. Step 6: Final answer
    x = 763.24

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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.