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Finding the Fourth Proportional to 1,537.87, 2,307.15 and 563.95

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Solution

The fourth proportional to 1,537.87, 2,307.15 and 563.95 is: 846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.87 : 2,307.15 = 563.95 : x
  2. Step 2: Convert to fraction form
    1,537.87/2,307.15 = 563.95/x
  3. Step 3: Cross multiply
    1,537.87x = 2,307.15 × 563.95
  4. Step 4: Simplify right side
    1,537.87x = 1,301,117.24
  5. Step 5: Solve for x
    x = 1,301,117.24/1,537.87
  6. Step 6: Final answer
    x = 846.05

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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.