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Finding the Fourth Proportional to 716.94, 989.12 and 437.08

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Solution

The fourth proportional to 716.94, 989.12 and 437.08 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.94 : 989.12 = 437.08 : x
  2. Step 2: Convert to fraction form
    716.94/989.12 = 437.08/x
  3. Step 3: Cross multiply
    716.94x = 989.12 × 437.08
  4. Step 4: Simplify right side
    716.94x = 432,324.57
  5. Step 5: Solve for x
    x = 432,324.57/716.94
  6. Step 6: Final answer
    x = 603.01

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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.