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Finding the Fourth Proportional to 873.12, 1,204.95 and 500.13

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Solution

The fourth proportional to 873.12, 1,204.95 and 500.13 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,204.95 = 500.13 : x
  2. Step 2: Convert to fraction form
    873.12/1,204.95 = 500.13/x
  3. Step 3: Cross multiply
    873.12x = 1,204.95 × 500.13
  4. Step 4: Simplify right side
    873.12x = 602,631.64
  5. Step 5: Solve for x
    x = 602,631.64/873.12
  6. Step 6: Final answer
    x = 690.20

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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.