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Finding the Fourth Proportional to 1,172.54, 1,758.56 and 442.10

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Solution

The fourth proportional to 1,172.54, 1,758.56 and 442.10 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.54 : 1,758.56 = 442.10 : x
  2. Step 2: Convert to fraction form
    1,172.54/1,758.56 = 442.10/x
  3. Step 3: Cross multiply
    1,172.54x = 1,758.56 × 442.10
  4. Step 4: Simplify right side
    1,172.54x = 777,459.38
  5. Step 5: Solve for x
    x = 777,459.38/1,172.54
  6. Step 6: Final answer
    x = 663.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.