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Finding the Fourth Proportional to 1,145.94, 1,579.65 and 703.02

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Solution

The fourth proportional to 1,145.94, 1,579.65 and 703.02 is: 969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.94 : 1,579.65 = 703.02 : x
  2. Step 2: Convert to fraction form
    1,145.94/1,579.65 = 703.02/x
  3. Step 3: Cross multiply
    1,145.94x = 1,579.65 × 703.02
  4. Step 4: Simplify right side
    1,145.94x = 1,110,525.54
  5. Step 5: Solve for x
    x = 1,110,525.54/1,145.94
  6. Step 6: Final answer
    x = 969.10

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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.