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Finding the Fourth Proportional to 719.07, 992.06 and 470.53

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Solution

The fourth proportional to 719.07, 992.06 and 470.53 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.07 : 992.06 = 470.53 : x
  2. Step 2: Convert to fraction form
    719.07/992.06 = 470.53/x
  3. Step 3: Cross multiply
    719.07x = 992.06 × 470.53
  4. Step 4: Simplify right side
    719.07x = 466,794.64
  5. Step 5: Solve for x
    x = 466,794.64/719.07
  6. Step 6: Final answer
    x = 649.17

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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.