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Finding the Fourth Proportional to 1,065.86, 1,470.94 and 624.02

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Solution

The fourth proportional to 1,065.86, 1,470.94 and 624.02 is: 861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,470.94 = 624.02 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,470.94 = 624.02/x
  3. Step 3: Cross multiply
    1,065.86x = 1,470.94 × 624.02
  4. Step 4: Simplify right side
    1,065.86x = 917,895.98
  5. Step 5: Solve for x
    x = 917,895.98/1,065.86
  6. Step 6: Final answer
    x = 861.18

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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.