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Finding the Fourth Proportional to 989.96, 1,366.47 and 597.00

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Solution

The fourth proportional to 989.96, 1,366.47 and 597.00 is: 824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.96 : 1,366.47 = 597.00 : x
  2. Step 2: Convert to fraction form
    989.96/1,366.47 = 597.00/x
  3. Step 3: Cross multiply
    989.96x = 1,366.47 × 597.00
  4. Step 4: Simplify right side
    989.96x = 815,787.71
  5. Step 5: Solve for x
    x = 815,787.71/989.96
  6. Step 6: Final answer
    x = 824.07

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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.