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Finding the Fourth Proportional to 1,537.64, 2,307.36 and 563.82

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Solution

The fourth proportional to 1,537.64, 2,307.36 and 563.82 is: 846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.64 : 2,307.36 = 563.82 : x
  2. Step 2: Convert to fraction form
    1,537.64/2,307.36 = 563.82/x
  3. Step 3: Cross multiply
    1,537.64x = 2,307.36 × 563.82
  4. Step 4: Simplify right side
    1,537.64x = 1,300,935.72
  5. Step 5: Solve for x
    x = 1,300,935.72/1,537.64
  6. Step 6: Final answer
    x = 846.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.