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Finding the Fourth Proportional to 1,200.64, 1,802.10 and 584.68

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Solution

The fourth proportional to 1,200.64, 1,802.10 and 584.68 is: 877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.64 : 1,802.10 = 584.68 : x
  2. Step 2: Convert to fraction form
    1,200.64/1,802.10 = 584.68/x
  3. Step 3: Cross multiply
    1,200.64x = 1,802.10 × 584.68
  4. Step 4: Simplify right side
    1,200.64x = 1,053,651.83
  5. Step 5: Solve for x
    x = 1,053,651.83/1,200.64
  6. Step 6: Final answer
    x = 877.58

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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.