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Finding the Fourth Proportional to 730.83, 1,008.39 and 436.17

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Solution

The fourth proportional to 730.83, 1,008.39 and 436.17 is: 601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.83 : 1,008.39 = 436.17 : x
  2. Step 2: Convert to fraction form
    730.83/1,008.39 = 436.17/x
  3. Step 3: Cross multiply
    730.83x = 1,008.39 × 436.17
  4. Step 4: Simplify right side
    730.83x = 439,829.47
  5. Step 5: Solve for x
    x = 439,829.47/730.83
  6. Step 6: Final answer
    x = 601.82

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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.