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Finding the Fourth Proportional to 1,093.64, 1,509.30 and 701.56

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Solution

The fourth proportional to 1,093.64, 1,509.30 and 701.56 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.64 : 1,509.30 = 701.56 : x
  2. Step 2: Convert to fraction form
    1,093.64/1,509.30 = 701.56/x
  3. Step 3: Cross multiply
    1,093.64x = 1,509.30 × 701.56
  4. Step 4: Simplify right side
    1,093.64x = 1,058,864.51
  5. Step 5: Solve for x
    x = 1,058,864.51/1,093.64
  6. Step 6: Final answer
    x = 968.20

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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.