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Finding the Fourth Proportional to 1,802.24, 2,703.46 and 569.32

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Solution

The fourth proportional to 1,802.24, 2,703.46 and 569.32 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.24 : 2,703.46 = 569.32 : x
  2. Step 2: Convert to fraction form
    1,802.24/2,703.46 = 569.32/x
  3. Step 3: Cross multiply
    1,802.24x = 2,703.46 × 569.32
  4. Step 4: Simplify right side
    1,802.24x = 1,539,133.85
  5. Step 5: Solve for x
    x = 1,539,133.85/1,802.24
  6. Step 6: Final answer
    x = 854.01

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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.