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Finding the Fourth Proportional to 964.17, 1,330.56 and 522.07

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Solution

The fourth proportional to 964.17, 1,330.56 and 522.07 is: 720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.17 : 1,330.56 = 522.07 : x
  2. Step 2: Convert to fraction form
    964.17/1,330.56 = 522.07/x
  3. Step 3: Cross multiply
    964.17x = 1,330.56 × 522.07
  4. Step 4: Simplify right side
    964.17x = 694,642.13
  5. Step 5: Solve for x
    x = 694,642.13/964.17
  6. Step 6: Final answer
    x = 720.46

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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.