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Finding the Fourth Proportional to 1,342.63, 2,014.01 and 477.01

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Solution

The fourth proportional to 1,342.63, 2,014.01 and 477.01 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.63 : 2,014.01 = 477.01 : x
  2. Step 2: Convert to fraction form
    1,342.63/2,014.01 = 477.01/x
  3. Step 3: Cross multiply
    1,342.63x = 2,014.01 × 477.01
  4. Step 4: Simplify right side
    1,342.63x = 960,690.46
  5. Step 5: Solve for x
    x = 960,690.46/1,342.63
  6. Step 6: Final answer
    x = 715.53

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