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Finding the Fourth Proportional to 1,378.69, 2,068.33 and 404.71

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Solution

The fourth proportional to 1,378.69, 2,068.33 and 404.71 is: 607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.69 : 2,068.33 = 404.71 : x
  2. Step 2: Convert to fraction form
    1,378.69/2,068.33 = 404.71/x
  3. Step 3: Cross multiply
    1,378.69x = 2,068.33 × 404.71
  4. Step 4: Simplify right side
    1,378.69x = 837,071.81
  5. Step 5: Solve for x
    x = 837,071.81/1,378.69
  6. Step 6: Final answer
    x = 607.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.