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Finding the Fourth Proportional to 719.24, 1,079.91 and 473.18

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Solution

The fourth proportional to 719.24, 1,079.91 and 473.18 is: 710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.24 : 1,079.91 = 473.18 : x
  2. Step 2: Convert to fraction form
    719.24/1,079.91 = 473.18/x
  3. Step 3: Cross multiply
    719.24x = 1,079.91 × 473.18
  4. Step 4: Simplify right side
    719.24x = 510,986.41
  5. Step 5: Solve for x
    x = 510,986.41/719.24
  6. Step 6: Final answer
    x = 710.46

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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.