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Finding the Fourth Proportional to 873.06, 1,204.65 and 500.02

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Solution

The fourth proportional to 873.06, 1,204.65 and 500.02 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,204.65 = 500.02 : x
  2. Step 2: Convert to fraction form
    873.06/1,204.65 = 500.02/x
  3. Step 3: Cross multiply
    873.06x = 1,204.65 × 500.02
  4. Step 4: Simplify right side
    873.06x = 602,349.09
  5. Step 5: Solve for x
    x = 602,349.09/873.06
  6. Step 6: Final answer
    x = 689.93

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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.