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Finding the Fourth Proportional to 730.49, 1,095.86 and 456.91

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Solution

The fourth proportional to 730.49, 1,095.86 and 456.91 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.49 : 1,095.86 = 456.91 : x
  2. Step 2: Convert to fraction form
    730.49/1,095.86 = 456.91/x
  3. Step 3: Cross multiply
    730.49x = 1,095.86 × 456.91
  4. Step 4: Simplify right side
    730.49x = 500,707.80
  5. Step 5: Solve for x
    x = 500,707.80/730.49
  6. Step 6: Final answer
    x = 685.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.