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Finding the Fourth Proportional to 873.18, 1,205.69 and 578.75

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Solution

The fourth proportional to 873.18, 1,205.69 and 578.75 is: 799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.18 : 1,205.69 = 578.75 : x
  2. Step 2: Convert to fraction form
    873.18/1,205.69 = 578.75/x
  3. Step 3: Cross multiply
    873.18x = 1,205.69 × 578.75
  4. Step 4: Simplify right side
    873.18x = 697,784.17
  5. Step 5: Solve for x
    x = 697,784.17/873.18
  6. Step 6: Final answer
    x = 799.13

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Why These Related Problems?

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