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Finding the Fourth Proportional to 1,065.86, 1,470.82 and 623.74

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Solution

The fourth proportional to 1,065.86, 1,470.82 and 623.74 is: 860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,470.82 = 623.74 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,470.82 = 623.74/x
  3. Step 3: Cross multiply
    1,065.86x = 1,470.82 × 623.74
  4. Step 4: Simplify right side
    1,065.86x = 917,409.27
  5. Step 5: Solve for x
    x = 917,409.27/1,065.86
  6. Step 6: Final answer
    x = 860.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.