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Finding the Fourth Proportional to 719.48, 1,074.55 and 714.83

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Solution

The fourth proportional to 719.48, 1,074.55 and 714.83 is: 1,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.48 : 1,074.55 = 714.83 : x
  2. Step 2: Convert to fraction form
    719.48/1,074.55 = 714.83/x
  3. Step 3: Cross multiply
    719.48x = 1,074.55 × 714.83
  4. Step 4: Simplify right side
    719.48x = 768,120.58
  5. Step 5: Solve for x
    x = 768,120.58/719.48
  6. Step 6: Final answer
    x = 1,067.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.