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Finding the Fourth Proportional to 1,102.74, 1,654.10 and 526.02

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Solution

The fourth proportional to 1,102.74, 1,654.10 and 526.02 is: 789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.74 : 1,654.10 = 526.02 : x
  2. Step 2: Convert to fraction form
    1,102.74/1,654.10 = 526.02/x
  3. Step 3: Cross multiply
    1,102.74x = 1,654.10 × 526.02
  4. Step 4: Simplify right side
    1,102.74x = 870,089.68
  5. Step 5: Solve for x
    x = 870,089.68/1,102.74
  6. Step 6: Final answer
    x = 789.03

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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.