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Finding the Fourth Proportional to 1,065.26, 1,470.06 and 623.17

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Solution

The fourth proportional to 1,065.26, 1,470.06 and 623.17 is: 859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.26 : 1,470.06 = 623.17 : x
  2. Step 2: Convert to fraction form
    1,065.26/1,470.06 = 623.17/x
  3. Step 3: Cross multiply
    1,065.26x = 1,470.06 × 623.17
  4. Step 4: Simplify right side
    1,065.26x = 916,097.29
  5. Step 5: Solve for x
    x = 916,097.29/1,065.26
  6. Step 6: Final answer
    x = 859.98

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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.