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Finding the Fourth Proportional to 873.42, 1,205.27 and 475.08

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Solution

The fourth proportional to 873.42, 1,205.27 and 475.08 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,205.27 = 475.08 : x
  2. Step 2: Convert to fraction form
    873.42/1,205.27 = 475.08/x
  3. Step 3: Cross multiply
    873.42x = 1,205.27 × 475.08
  4. Step 4: Simplify right side
    873.42x = 572,598.23
  5. Step 5: Solve for x
    x = 572,598.23/873.42
  6. Step 6: Final answer
    x = 655.58

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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.