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Finding the Fourth Proportional to 1,065.86, 1,470.88 and 600.11

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Solution

The fourth proportional to 1,065.86, 1,470.88 and 600.11 is: 828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,470.88 = 600.11 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,470.88 = 600.11/x
  3. Step 3: Cross multiply
    1,065.86x = 1,470.88 × 600.11
  4. Step 4: Simplify right side
    1,065.86x = 882,689.80
  5. Step 5: Solve for x
    x = 882,689.80/1,065.86
  6. Step 6: Final answer
    x = 828.15

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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.