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Finding the Fourth Proportional to 730.86, 1,008.75 and 436.35

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Solution

The fourth proportional to 730.86, 1,008.75 and 436.35 is: 602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.86 : 1,008.75 = 436.35 : x
  2. Step 2: Convert to fraction form
    730.86/1,008.75 = 436.35/x
  3. Step 3: Cross multiply
    730.86x = 1,008.75 × 436.35
  4. Step 4: Simplify right side
    730.86x = 440,168.06
  5. Step 5: Solve for x
    x = 440,168.06/730.86
  6. Step 6: Final answer
    x = 602.26

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Half scale
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Double scale
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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.