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Finding the Fourth Proportional to 1,110.34, 1,533 and 691.30

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Solution

The fourth proportional to 1,110.34, 1,533 and 691.30 is: 954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.34 : 1,533 = 691.30 : x
  2. Step 2: Convert to fraction form
    1,110.34/1,533 = 691.30/x
  3. Step 3: Cross multiply
    1,110.34x = 1,533 × 691.30
  4. Step 4: Simplify right side
    1,110.34x = 1,059,762.90
  5. Step 5: Solve for x
    x = 1,059,762.90/1,110.34
  6. Step 6: Final answer
    x = 954.45

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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.