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Finding the Fourth Proportional to 1,065.49, 1,470.12 and 623.47

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Solution

The fourth proportional to 1,065.49, 1,470.12 and 623.47 is: 860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.49 : 1,470.12 = 623.47 : x
  2. Step 2: Convert to fraction form
    1,065.49/1,470.12 = 623.47/x
  3. Step 3: Cross multiply
    1,065.49x = 1,470.12 × 623.47
  4. Step 4: Simplify right side
    1,065.49x = 916,575.72
  5. Step 5: Solve for x
    x = 916,575.72/1,065.49
  6. Step 6: Final answer
    x = 860.24

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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.