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Finding the Fourth Proportional to 727.52, 1,004.00 and 412.77

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Solution

The fourth proportional to 727.52, 1,004.00 and 412.77 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,004.00 = 412.77 : x
  2. Step 2: Convert to fraction form
    727.52/1,004.00 = 412.77/x
  3. Step 3: Cross multiply
    727.52x = 1,004.00 × 412.77
  4. Step 4: Simplify right side
    727.52x = 414,416.80
  5. Step 5: Solve for x
    x = 414,416.80/727.52
  6. Step 6: Final answer
    x = 569.63

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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.