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Finding the Fourth Proportional to 1,404.06, 2,106.08 and 526.52

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Solution

The fourth proportional to 1,404.06, 2,106.08 and 526.52 is: 789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.06 : 2,106.08 = 526.52 : x
  2. Step 2: Convert to fraction form
    1,404.06/2,106.08 = 526.52/x
  3. Step 3: Cross multiply
    1,404.06x = 2,106.08 × 526.52
  4. Step 4: Simplify right side
    1,404.06x = 1,108,897.85
  5. Step 5: Solve for x
    x = 1,108,897.85/1,404.06
  6. Step 6: Final answer
    x = 789.78

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