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Finding the Fourth Proportional to 1,094.60, 1,509.79 and 762.90

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Solution

The fourth proportional to 1,094.60, 1,509.79 and 762.90 is: 1,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.60 : 1,509.79 = 762.90 : x
  2. Step 2: Convert to fraction form
    1,094.60/1,509.79 = 762.90/x
  3. Step 3: Cross multiply
    1,094.60x = 1,509.79 × 762.90
  4. Step 4: Simplify right side
    1,094.60x = 1,151,818.79
  5. Step 5: Solve for x
    x = 1,151,818.79/1,094.60
  6. Step 6: Final answer
    x = 1,052.27

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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.