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Finding the Fourth Proportional to 1,368.56, 2,053.08 and 599.60

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Solution

The fourth proportional to 1,368.56, 2,053.08 and 599.60 is: 899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.56 : 2,053.08 = 599.60 : x
  2. Step 2: Convert to fraction form
    1,368.56/2,053.08 = 599.60/x
  3. Step 3: Cross multiply
    1,368.56x = 2,053.08 × 599.60
  4. Step 4: Simplify right side
    1,368.56x = 1,231,026.77
  5. Step 5: Solve for x
    x = 1,231,026.77/1,368.56
  6. Step 6: Final answer
    x = 899.51

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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.