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Finding the Fourth Proportional to 1,376.96, 2,064.96 and 555.02

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Solution

The fourth proportional to 1,376.96, 2,064.96 and 555.02 is: 832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.96 : 2,064.96 = 555.02 : x
  2. Step 2: Convert to fraction form
    1,376.96/2,064.96 = 555.02/x
  3. Step 3: Cross multiply
    1,376.96x = 2,064.96 × 555.02
  4. Step 4: Simplify right side
    1,376.96x = 1,146,094.10
  5. Step 5: Solve for x
    x = 1,146,094.10/1,376.96
  6. Step 6: Final answer
    x = 832.34

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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.