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Finding the Fourth Proportional to 1,730.74, 2,596.20 and 864.76

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Solution

The fourth proportional to 1,730.74, 2,596.20 and 864.76 is: 1,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.74 : 2,596.20 = 864.76 : x
  2. Step 2: Convert to fraction form
    1,730.74/2,596.20 = 864.76/x
  3. Step 3: Cross multiply
    1,730.74x = 2,596.20 × 864.76
  4. Step 4: Simplify right side
    1,730.74x = 2,245,089.91
  5. Step 5: Solve for x
    x = 2,245,089.91/1,730.74
  6. Step 6: Final answer
    x = 1,297.18

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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.