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Finding the Fourth Proportional to 1,145.70, 1,581.08 and 621.75

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Solution

The fourth proportional to 1,145.70, 1,581.08 and 621.75 is: 858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.70 : 1,581.08 = 621.75 : x
  2. Step 2: Convert to fraction form
    1,145.70/1,581.08 = 621.75/x
  3. Step 3: Cross multiply
    1,145.70x = 1,581.08 × 621.75
  4. Step 4: Simplify right side
    1,145.70x = 983,036.49
  5. Step 5: Solve for x
    x = 983,036.49/1,145.70
  6. Step 6: Final answer
    x = 858.02

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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.