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Finding the Fourth Proportional to 1,348.75, 2,022.30 and 526.06

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Solution

The fourth proportional to 1,348.75, 2,022.30 and 526.06 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.75 : 2,022.30 = 526.06 : x
  2. Step 2: Convert to fraction form
    1,348.75/2,022.30 = 526.06/x
  3. Step 3: Cross multiply
    1,348.75x = 2,022.30 × 526.06
  4. Step 4: Simplify right side
    1,348.75x = 1,063,853.67
  5. Step 5: Solve for x
    x = 1,063,853.67/1,348.75
  6. Step 6: Final answer
    x = 788.77

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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.