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Finding the Fourth Proportional to 1,577.34, 2,365.67 and 652.66

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Solution

The fourth proportional to 1,577.34, 2,365.67 and 652.66 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.34 : 2,365.67 = 652.66 : x
  2. Step 2: Convert to fraction form
    1,577.34/2,365.67 = 652.66/x
  3. Step 3: Cross multiply
    1,577.34x = 2,365.67 × 652.66
  4. Step 4: Simplify right side
    1,577.34x = 1,543,978.18
  5. Step 5: Solve for x
    x = 1,543,978.18/1,577.34
  6. Step 6: Final answer
    x = 978.85

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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.