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Finding the Fourth Proportional to 1,137.95, 1,567.14 and 1,024.96

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Solution

The fourth proportional to 1,137.95, 1,567.14 and 1,024.96 is: 1,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.95 : 1,567.14 = 1,024.96 : x
  2. Step 2: Convert to fraction form
    1,137.95/1,567.14 = 1,024.96/x
  3. Step 3: Cross multiply
    1,137.95x = 1,567.14 × 1,024.96
  4. Step 4: Simplify right side
    1,137.95x = 1,606,247.98
  5. Step 5: Solve for x
    x = 1,606,247.98/1,137.95
  6. Step 6: Final answer
    x = 1,411.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.