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Finding the Fourth Proportional to 873.09, 1,204.84 and 474.74

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Solution

The fourth proportional to 873.09, 1,204.84 and 474.74 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.09 : 1,204.84 = 474.74 : x
  2. Step 2: Convert to fraction form
    873.09/1,204.84 = 474.74/x
  3. Step 3: Cross multiply
    873.09x = 1,204.84 × 474.74
  4. Step 4: Simplify right side
    873.09x = 571,985.74
  5. Step 5: Solve for x
    x = 571,985.74/873.09
  6. Step 6: Final answer
    x = 655.13

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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.