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Finding the Fourth Proportional to 1,376.32, 2,064.51 and 402.43

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Solution

The fourth proportional to 1,376.32, 2,064.51 and 402.43 is: 603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.32 : 2,064.51 = 402.43 : x
  2. Step 2: Convert to fraction form
    1,376.32/2,064.51 = 402.43/x
  3. Step 3: Cross multiply
    1,376.32x = 2,064.51 × 402.43
  4. Step 4: Simplify right side
    1,376.32x = 830,808.42
  5. Step 5: Solve for x
    x = 830,808.42/1,376.32
  6. Step 6: Final answer
    x = 603.65

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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.