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Finding the Fourth Proportional to 1,031.94, 1,424.09 and 566.19

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Solution

The fourth proportional to 1,031.94, 1,424.09 and 566.19 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,424.09 = 566.19 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,424.09 = 566.19/x
  3. Step 3: Cross multiply
    1,031.94x = 1,424.09 × 566.19
  4. Step 4: Simplify right side
    1,031.94x = 806,305.52
  5. Step 5: Solve for x
    x = 806,305.52/1,031.94
  6. Step 6: Final answer
    x = 781.35

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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.