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Finding the Fourth Proportional to 1,368.60, 2,054.10 and 547.44

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Solution

The fourth proportional to 1,368.60, 2,054.10 and 547.44 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.60 : 2,054.10 = 547.44 : x
  2. Step 2: Convert to fraction form
    1,368.60/2,054.10 = 547.44/x
  3. Step 3: Cross multiply
    1,368.60x = 2,054.10 × 547.44
  4. Step 4: Simplify right side
    1,368.60x = 1,124,496.50
  5. Step 5: Solve for x
    x = 1,124,496.50/1,368.60
  6. Step 6: Final answer
    x = 821.64

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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.