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Finding the Fourth Proportional to 873.03, 1,204.76 and 558.15

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Solution

The fourth proportional to 873.03, 1,204.76 and 558.15 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.03 : 1,204.76 = 558.15 : x
  2. Step 2: Convert to fraction form
    873.03/1,204.76 = 558.15/x
  3. Step 3: Cross multiply
    873.03x = 1,204.76 × 558.15
  4. Step 4: Simplify right side
    873.03x = 672,434.00
  5. Step 5: Solve for x
    x = 672,434.00/873.03
  6. Step 6: Final answer
    x = 770.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.