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Finding the Fourth Proportional to 1,465.74, 2,022.74 and 802.65

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Solution

The fourth proportional to 1,465.74, 2,022.74 and 802.65 is: 1,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.74 : 2,022.74 = 802.65 : x
  2. Step 2: Convert to fraction form
    1,465.74/2,022.74 = 802.65/x
  3. Step 3: Cross multiply
    1,465.74x = 2,022.74 × 802.65
  4. Step 4: Simplify right side
    1,465.74x = 1,623,555.83
  5. Step 5: Solve for x
    x = 1,623,555.83/1,465.74
  6. Step 6: Final answer
    x = 1,107.67

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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.