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Finding the Fourth Proportional to 1,569.25, 2,165.64 and 870.63

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Solution

The fourth proportional to 1,569.25, 2,165.64 and 870.63 is: 1,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.25 : 2,165.64 = 870.63 : x
  2. Step 2: Convert to fraction form
    1,569.25/2,165.64 = 870.63/x
  3. Step 3: Cross multiply
    1,569.25x = 2,165.64 × 870.63
  4. Step 4: Simplify right side
    1,569.25x = 1,885,460.33
  5. Step 5: Solve for x
    x = 1,885,460.33/1,569.25
  6. Step 6: Final answer
    x = 1,201.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.