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Finding the Fourth Proportional to 1,031.94, 1,424.79 and 751.68

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Solution

The fourth proportional to 1,031.94, 1,424.79 and 751.68 is: 1,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,424.79 = 751.68 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,424.79 = 751.68/x
  3. Step 3: Cross multiply
    1,031.94x = 1,424.79 × 751.68
  4. Step 4: Simplify right side
    1,031.94x = 1,070,986.15
  5. Step 5: Solve for x
    x = 1,070,986.15/1,031.94
  6. Step 6: Final answer
    x = 1,037.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.