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Finding the Fourth Proportional to 1,537.57, 2,307.03 and 563.95

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Solution

The fourth proportional to 1,537.57, 2,307.03 and 563.95 is: 846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.57 : 2,307.03 = 563.95 : x
  2. Step 2: Convert to fraction form
    1,537.57/2,307.03 = 563.95/x
  3. Step 3: Cross multiply
    1,537.57x = 2,307.03 × 563.95
  4. Step 4: Simplify right side
    1,537.57x = 1,301,049.57
  5. Step 5: Solve for x
    x = 1,301,049.57/1,537.57
  6. Step 6: Final answer
    x = 846.17

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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.