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Finding the Fourth Proportional to 1,145.38, 1,580.97 and 703.48

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Solution

The fourth proportional to 1,145.38, 1,580.97 and 703.48 is: 971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.38 : 1,580.97 = 703.48 : x
  2. Step 2: Convert to fraction form
    1,145.38/1,580.97 = 703.48/x
  3. Step 3: Cross multiply
    1,145.38x = 1,580.97 × 703.48
  4. Step 4: Simplify right side
    1,145.38x = 1,112,180.78
  5. Step 5: Solve for x
    x = 1,112,180.78/1,145.38
  6. Step 6: Final answer
    x = 971.01

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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.