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Finding the Fourth Proportional to 806.63, 1,113.15 and 475.06

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Solution

The fourth proportional to 806.63, 1,113.15 and 475.06 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.63 : 1,113.15 = 475.06 : x
  2. Step 2: Convert to fraction form
    806.63/1,113.15 = 475.06/x
  3. Step 3: Cross multiply
    806.63x = 1,113.15 × 475.06
  4. Step 4: Simplify right side
    806.63x = 528,813.04
  5. Step 5: Solve for x
    x = 528,813.04/806.63
  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.