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Finding the Fourth Proportional to 1,748.47, 2,622.71 and 652.82

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Solution

The fourth proportional to 1,748.47, 2,622.71 and 652.82 is: 979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.47 : 2,622.71 = 652.82 : x
  2. Step 2: Convert to fraction form
    1,748.47/2,622.71 = 652.82/x
  3. Step 3: Cross multiply
    1,748.47x = 2,622.71 × 652.82
  4. Step 4: Simplify right side
    1,748.47x = 1,712,155.91
  5. Step 5: Solve for x
    x = 1,712,155.91/1,748.47
  6. Step 6: Final answer
    x = 979.23

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1.5x scale

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.