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Finding the Fourth Proportional to 1,132.66, 1,698.78 and 802.54

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Solution

The fourth proportional to 1,132.66, 1,698.78 and 802.54 is: 1,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.66 : 1,698.78 = 802.54 : x
  2. Step 2: Convert to fraction form
    1,132.66/1,698.78 = 802.54/x
  3. Step 3: Cross multiply
    1,132.66x = 1,698.78 × 802.54
  4. Step 4: Simplify right side
    1,132.66x = 1,363,344.03
  5. Step 5: Solve for x
    x = 1,363,344.03/1,132.66
  6. Step 6: Final answer
    x = 1,203.66

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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.