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Finding the Fourth Proportional to 1,065.26, 1,470.04 and 599.51

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Solution

The fourth proportional to 1,065.26, 1,470.04 and 599.51 is: 827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.26 : 1,470.04 = 599.51 : x
  2. Step 2: Convert to fraction form
    1,065.26/1,470.04 = 599.51/x
  3. Step 3: Cross multiply
    1,065.26x = 1,470.04 × 599.51
  4. Step 4: Simplify right side
    1,065.26x = 881,303.68
  5. Step 5: Solve for x
    x = 881,303.68/1,065.26
  6. Step 6: Final answer
    x = 827.31

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Why These Related Problems?

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