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Finding the Fourth Proportional to 1,348.61, 2,022.89 and 526.86

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Solution

The fourth proportional to 1,348.61, 2,022.89 and 526.86 is: 790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.61 : 2,022.89 = 526.86 : x
  2. Step 2: Convert to fraction form
    1,348.61/2,022.89 = 526.86/x
  3. Step 3: Cross multiply
    1,348.61x = 2,022.89 × 526.86
  4. Step 4: Simplify right side
    1,348.61x = 1,065,777.19
  5. Step 5: Solve for x
    x = 1,065,777.19/1,348.61
  6. Step 6: Final answer
    x = 790.28

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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.