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Finding the Fourth Proportional to 1,348.29, 2,021.85 and 526.10

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Solution

The fourth proportional to 1,348.29, 2,021.85 and 526.10 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.29 : 2,021.85 = 526.10 : x
  2. Step 2: Convert to fraction form
    1,348.29/2,021.85 = 526.10/x
  3. Step 3: Cross multiply
    1,348.29x = 2,021.85 × 526.10
  4. Step 4: Simplify right side
    1,348.29x = 1,063,685.18
  5. Step 5: Solve for x
    x = 1,063,685.18/1,348.29
  6. Step 6: Final answer
    x = 788.91

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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.