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Finding the Fourth Proportional to 1,173.32, 1,619.13 and 649.34

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Solution

The fourth proportional to 1,173.32, 1,619.13 and 649.34 is: 896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.32 : 1,619.13 = 649.34 : x
  2. Step 2: Convert to fraction form
    1,173.32/1,619.13 = 649.34/x
  3. Step 3: Cross multiply
    1,173.32x = 1,619.13 × 649.34
  4. Step 4: Simplify right side
    1,173.32x = 1,051,365.87
  5. Step 5: Solve for x
    x = 1,051,365.87/1,173.32
  6. Step 6: Final answer
    x = 896.06

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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.