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Finding the Fourth Proportional to 1,144.45, 1,717.80 and 597.07

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Solution

The fourth proportional to 1,144.45, 1,717.80 and 597.07 is: 896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.45 : 1,717.80 = 597.07 : x
  2. Step 2: Convert to fraction form
    1,144.45/1,717.80 = 597.07/x
  3. Step 3: Cross multiply
    1,144.45x = 1,717.80 × 597.07
  4. Step 4: Simplify right side
    1,144.45x = 1,025,646.85
  5. Step 5: Solve for x
    x = 1,025,646.85/1,144.45
  6. Step 6: Final answer
    x = 896.19

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1.5x scale

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.