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Finding the Fourth Proportional to 873.19, 1,205.01 and 480.23

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Solution

The fourth proportional to 873.19, 1,205.01 and 480.23 is: 662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.19 : 1,205.01 = 480.23 : x
  2. Step 2: Convert to fraction form
    873.19/1,205.01 = 480.23/x
  3. Step 3: Cross multiply
    873.19x = 1,205.01 × 480.23
  4. Step 4: Simplify right side
    873.19x = 578,681.95
  5. Step 5: Solve for x
    x = 578,681.95/873.19
  6. Step 6: Final answer
    x = 662.72

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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.