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Finding the Fourth Proportional to 973.13, 1,452.59 and 844.04

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Solution

The fourth proportional to 973.13, 1,452.59 and 844.04 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.13 : 1,452.59 = 844.04 : x
  2. Step 2: Convert to fraction form
    973.13/1,452.59 = 844.04/x
  3. Step 3: Cross multiply
    973.13x = 1,452.59 × 844.04
  4. Step 4: Simplify right side
    973.13x = 1,226,032.58
  5. Step 5: Solve for x
    x = 1,226,032.58/973.13
  6. Step 6: Final answer
    x = 1,259.89

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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.