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Finding the Fourth Proportional to 1,308.26, 1,802.49 and 841.70

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Solution

The fourth proportional to 1,308.26, 1,802.49 and 841.70 is: 1,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.26 : 1,802.49 = 841.70 : x
  2. Step 2: Convert to fraction form
    1,308.26/1,802.49 = 841.70/x
  3. Step 3: Cross multiply
    1,308.26x = 1,802.49 × 841.70
  4. Step 4: Simplify right side
    1,308.26x = 1,517,155.83
  5. Step 5: Solve for x
    x = 1,517,155.83/1,308.26
  6. Step 6: Final answer
    x = 1,159.67

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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.