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Finding the Fourth Proportional to 704.51, 1,056.84 and 623.16

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Solution

The fourth proportional to 704.51, 1,056.84 and 623.16 is: 934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.51 : 1,056.84 = 623.16 : x
  2. Step 2: Convert to fraction form
    704.51/1,056.84 = 623.16/x
  3. Step 3: Cross multiply
    704.51x = 1,056.84 × 623.16
  4. Step 4: Simplify right side
    704.51x = 658,580.41
  5. Step 5: Solve for x
    x = 658,580.41/704.51
  6. Step 6: Final answer
    x = 934.81

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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.