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Finding the Fourth Proportional to 1,035.75, 1,429.34 and 621.75

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Solution

The fourth proportional to 1,035.75, 1,429.34 and 621.75 is: 858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.75 : 1,429.34 = 621.75 : x
  2. Step 2: Convert to fraction form
    1,035.75/1,429.34 = 621.75/x
  3. Step 3: Cross multiply
    1,035.75x = 1,429.34 × 621.75
  4. Step 4: Simplify right side
    1,035.75x = 888,689.04
  5. Step 5: Solve for x
    x = 888,689.04/1,035.75
  6. Step 6: Final answer
    x = 858.02

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1.5x scale

Why These Related Problems?

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