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Finding the Fourth Proportional to 1,065.81, 1,470.32 and 623.44

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Solution

The fourth proportional to 1,065.81, 1,470.32 and 623.44 is: 860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.81 : 1,470.32 = 623.44 : x
  2. Step 2: Convert to fraction form
    1,065.81/1,470.32 = 623.44/x
  3. Step 3: Cross multiply
    1,065.81x = 1,470.32 × 623.44
  4. Step 4: Simplify right side
    1,065.81x = 916,649.51
  5. Step 5: Solve for x
    x = 916,649.51/1,065.81
  6. Step 6: Final answer
    x = 860.05

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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.