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Finding the Fourth Proportional to 1,103.58, 1,522.26 and 710.10

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Solution

The fourth proportional to 1,103.58, 1,522.26 and 710.10 is: 979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.58 : 1,522.26 = 710.10 : x
  2. Step 2: Convert to fraction form
    1,103.58/1,522.26 = 710.10/x
  3. Step 3: Cross multiply
    1,103.58x = 1,522.26 × 710.10
  4. Step 4: Simplify right side
    1,103.58x = 1,080,956.83
  5. Step 5: Solve for x
    x = 1,080,956.83/1,103.58
  6. Step 6: Final answer
    x = 979.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.