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Finding the Fourth Proportional to 1,144.95, 1,718.51 and 597.53

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Solution

The fourth proportional to 1,144.95, 1,718.51 and 597.53 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.95 : 1,718.51 = 597.53 : x
  2. Step 2: Convert to fraction form
    1,144.95/1,718.51 = 597.53/x
  3. Step 3: Cross multiply
    1,144.95x = 1,718.51 × 597.53
  4. Step 4: Simplify right side
    1,144.95x = 1,026,849.70
  5. Step 5: Solve for x
    x = 1,026,849.70/1,144.95
  6. Step 6: Final answer
    x = 896.85

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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.