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Finding the Fourth Proportional to 1,758.48, 2,638 and 784.52

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Solution

The fourth proportional to 1,758.48, 2,638 and 784.52 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.48 : 2,638 = 784.52 : x
  2. Step 2: Convert to fraction form
    1,758.48/2,638 = 784.52/x
  3. Step 3: Cross multiply
    1,758.48x = 2,638 × 784.52
  4. Step 4: Simplify right side
    1,758.48x = 2,069,563.76
  5. Step 5: Solve for x
    x = 2,069,563.76/1,758.48
  6. Step 6: Final answer
    x = 1,176.90

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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.