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Finding the Fourth Proportional to 973.48, 1,462.02 and 811.48

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Solution

The fourth proportional to 973.48, 1,462.02 and 811.48 is: 1,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.48 : 1,462.02 = 811.48 : x
  2. Step 2: Convert to fraction form
    973.48/1,462.02 = 811.48/x
  3. Step 3: Cross multiply
    973.48x = 1,462.02 × 811.48
  4. Step 4: Simplify right side
    973.48x = 1,186,399.99
  5. Step 5: Solve for x
    x = 1,186,399.99/973.48
  6. Step 6: Final answer
    x = 1,218.72

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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.