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Finding the Fourth Proportional to 1,858.82, 2,788.16 and 560.25

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Solution

The fourth proportional to 1,858.82, 2,788.16 and 560.25 is: 840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.82 : 2,788.16 = 560.25 : x
  2. Step 2: Convert to fraction form
    1,858.82/2,788.16 = 560.25/x
  3. Step 3: Cross multiply
    1,858.82x = 2,788.16 × 560.25
  4. Step 4: Simplify right side
    1,858.82x = 1,562,063.84
  5. Step 5: Solve for x
    x = 1,562,063.84/1,858.82
  6. Step 6: Final answer
    x = 840.35

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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.