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Finding the Fourth Proportional to 730.64, 1,095.30 and 470.83

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Solution

The fourth proportional to 730.64, 1,095.30 and 470.83 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.64 : 1,095.30 = 470.83 : x
  2. Step 2: Convert to fraction form
    730.64/1,095.30 = 470.83/x
  3. Step 3: Cross multiply
    730.64x = 1,095.30 × 470.83
  4. Step 4: Simplify right side
    730.64x = 515,700.10
  5. Step 5: Solve for x
    x = 515,700.10/730.64
  6. Step 6: Final answer
    x = 705.82

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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.