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Finding the Fourth Proportional to 973.15, 1,452.02 and 914.06

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Solution

The fourth proportional to 973.15, 1,452.02 and 914.06 is: 1,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.15 : 1,452.02 = 914.06 : x
  2. Step 2: Convert to fraction form
    973.15/1,452.02 = 914.06/x
  3. Step 3: Cross multiply
    973.15x = 1,452.02 × 914.06
  4. Step 4: Simplify right side
    973.15x = 1,327,232.46
  5. Step 5: Solve for x
    x = 1,327,232.46/973.15
  6. Step 6: Final answer
    x = 1,363.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.