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Finding the Fourth Proportional to 1,577.14, 2,365.61 and 652.46

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Solution

The fourth proportional to 1,577.14, 2,365.61 and 652.46 is: 978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.14 : 2,365.61 = 652.46 : x
  2. Step 2: Convert to fraction form
    1,577.14/2,365.61 = 652.46/x
  3. Step 3: Cross multiply
    1,577.14x = 2,365.61 × 652.46
  4. Step 4: Simplify right side
    1,577.14x = 1,543,450.81
  5. Step 5: Solve for x
    x = 1,543,450.81/1,577.14
  6. Step 6: Final answer
    x = 978.64

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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.