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Finding the Fourth Proportional to 873.33, 1,205.33 and 500.24

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Solution

The fourth proportional to 873.33, 1,205.33 and 500.24 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.33 : 1,205.33 = 500.24 : x
  2. Step 2: Convert to fraction form
    873.33/1,205.33 = 500.24/x
  3. Step 3: Cross multiply
    873.33x = 1,205.33 × 500.24
  4. Step 4: Simplify right side
    873.33x = 602,945.75
  5. Step 5: Solve for x
    x = 602,945.75/873.33
  6. Step 6: Final answer
    x = 690.40

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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.