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Finding the Fourth Proportional to 1,065.69, 1,470.67 and 623.57

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Solution

The fourth proportional to 1,065.69, 1,470.67 and 623.57 is: 860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,470.67 = 623.57 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,470.67 = 623.57/x
  3. Step 3: Cross multiply
    1,065.69x = 1,470.67 × 623.57
  4. Step 4: Simplify right side
    1,065.69x = 917,056.78
  5. Step 5: Solve for x
    x = 917,056.78/1,065.69
  6. Step 6: Final answer
    x = 860.53

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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.