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Finding the Fourth Proportional to 705.66, 1,055.73 and 623.58

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Solution

The fourth proportional to 705.66, 1,055.73 and 623.58 is: 932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,055.73 = 623.58 : x
  2. Step 2: Convert to fraction form
    705.66/1,055.73 = 623.58/x
  3. Step 3: Cross multiply
    705.66x = 1,055.73 × 623.58
  4. Step 4: Simplify right side
    705.66x = 658,332.11
  5. Step 5: Solve for x
    x = 658,332.11/705.66
  6. Step 6: Final answer
    x = 932.93

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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.