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Finding the Fourth Proportional to 973.28, 1,463.00 and 837.96

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Solution

The fourth proportional to 973.28, 1,463.00 and 837.96 is: 1,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,463.00 = 837.96 : x
  2. Step 2: Convert to fraction form
    973.28/1,463.00 = 837.96/x
  3. Step 3: Cross multiply
    973.28x = 1,463.00 × 837.96
  4. Step 4: Simplify right side
    973.28x = 1,225,938.75
  5. Step 5: Solve for x
    x = 1,225,938.75/973.28
  6. Step 6: Final answer
    x = 1,259.59

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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.