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Finding the Fourth Proportional to 1,624.69, 2,435.78 and 802.40

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Solution

The fourth proportional to 1,624.69, 2,435.78 and 802.40 is: 1,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.69 : 2,435.78 = 802.40 : x
  2. Step 2: Convert to fraction form
    1,624.69/2,435.78 = 802.40/x
  3. Step 3: Cross multiply
    1,624.69x = 2,435.78 × 802.40
  4. Step 4: Simplify right side
    1,624.69x = 1,954,469.87
  5. Step 5: Solve for x
    x = 1,954,469.87/1,624.69
  6. Step 6: Final answer
    x = 1,202.98

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Why These Related Problems?

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