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Finding the Fourth Proportional to 965.98, 1,333.06 and 567.53

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Solution

The fourth proportional to 965.98, 1,333.06 and 567.53 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,333.06 = 567.53 : x
  2. Step 2: Convert to fraction form
    965.98/1,333.06 = 567.53/x
  3. Step 3: Cross multiply
    965.98x = 1,333.06 × 567.53
  4. Step 4: Simplify right side
    965.98x = 756,557.02
  5. Step 5: Solve for x
    x = 756,557.02/965.98
  6. Step 6: Final answer
    x = 783.20

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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.