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Finding the Fourth Proportional to 1,102.60, 1,652.08 and 777.28

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Solution

The fourth proportional to 1,102.60, 1,652.08 and 777.28 is: 1,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.60 : 1,652.08 = 777.28 : x
  2. Step 2: Convert to fraction form
    1,102.60/1,652.08 = 777.28/x
  3. Step 3: Cross multiply
    1,102.60x = 1,652.08 × 777.28
  4. Step 4: Simplify right side
    1,102.60x = 1,284,128.74
  5. Step 5: Solve for x
    x = 1,284,128.74/1,102.60
  6. Step 6: Final answer
    x = 1,164.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.