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Finding the Fourth Proportional to 1,569.12, 2,165.46 and 870.50

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Solution

The fourth proportional to 1,569.12, 2,165.46 and 870.50 is: 1,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.12 : 2,165.46 = 870.50 : x
  2. Step 2: Convert to fraction form
    1,569.12/2,165.46 = 870.50/x
  3. Step 3: Cross multiply
    1,569.12x = 2,165.46 × 870.50
  4. Step 4: Simplify right side
    1,569.12x = 1,885,032.93
  5. Step 5: Solve for x
    x = 1,885,032.93/1,569.12
  6. Step 6: Final answer
    x = 1,201.33

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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.