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Finding the Fourth Proportional to 1,145.12, 1,579.68 and 678.56

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Solution

The fourth proportional to 1,145.12, 1,579.68 and 678.56 is: 936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.12 : 1,579.68 = 678.56 : x
  2. Step 2: Convert to fraction form
    1,145.12/1,579.68 = 678.56/x
  3. Step 3: Cross multiply
    1,145.12x = 1,579.68 × 678.56
  4. Step 4: Simplify right side
    1,145.12x = 1,071,907.66
  5. Step 5: Solve for x
    x = 1,071,907.66/1,145.12
  6. Step 6: Final answer
    x = 936.07

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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.