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Finding the Fourth Proportional to 1,577.95, 2,365.58 and 652.93

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Solution

The fourth proportional to 1,577.95, 2,365.58 and 652.93 is: 978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.95 : 2,365.58 = 652.93 : x
  2. Step 2: Convert to fraction form
    1,577.95/2,365.58 = 652.93/x
  3. Step 3: Cross multiply
    1,577.95x = 2,365.58 × 652.93
  4. Step 4: Simplify right side
    1,577.95x = 1,544,553.87
  5. Step 5: Solve for x
    x = 1,544,553.87/1,577.95
  6. Step 6: Final answer
    x = 978.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.