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Finding the Fourth Proportional to 795.64, 1,192.24 and 470.64

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Solution

The fourth proportional to 795.64, 1,192.24 and 470.64 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.64 : 1,192.24 = 470.64 : x
  2. Step 2: Convert to fraction form
    795.64/1,192.24 = 470.64/x
  3. Step 3: Cross multiply
    795.64x = 1,192.24 × 470.64
  4. Step 4: Simplify right side
    795.64x = 561,115.83
  5. Step 5: Solve for x
    x = 561,115.83/795.64
  6. Step 6: Final answer
    x = 705.24

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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.