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Finding the Fourth Proportional to 719.94, 992.35 and 509.64

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Solution

The fourth proportional to 719.94, 992.35 and 509.64 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.94 : 992.35 = 509.64 : x
  2. Step 2: Convert to fraction form
    719.94/992.35 = 509.64/x
  3. Step 3: Cross multiply
    719.94x = 992.35 × 509.64
  4. Step 4: Simplify right side
    719.94x = 505,743.75
  5. Step 5: Solve for x
    x = 505,743.75/719.94
  6. Step 6: Final answer
    x = 702.48

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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.