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Finding the Fourth Proportional to 873.30, 1,205.16 and 474.96

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Solution

The fourth proportional to 873.30, 1,205.16 and 474.96 is: 655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.30 : 1,205.16 = 474.96 : x
  2. Step 2: Convert to fraction form
    873.30/1,205.16 = 474.96/x
  3. Step 3: Cross multiply
    873.30x = 1,205.16 × 474.96
  4. Step 4: Simplify right side
    873.30x = 572,402.79
  5. Step 5: Solve for x
    x = 572,402.79/873.30
  6. Step 6: Final answer
    x = 655.45

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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.