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Finding the Fourth Proportional to 1,094.16, 1,509.57 and 668.63

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Solution

The fourth proportional to 1,094.16, 1,509.57 and 668.63 is: 922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.16 : 1,509.57 = 668.63 : x
  2. Step 2: Convert to fraction form
    1,094.16/1,509.57 = 668.63/x
  3. Step 3: Cross multiply
    1,094.16x = 1,509.57 × 668.63
  4. Step 4: Simplify right side
    1,094.16x = 1,009,343.79
  5. Step 5: Solve for x
    x = 1,009,343.79/1,094.16
  6. Step 6: Final answer
    x = 922.48

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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.