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Finding the Fourth Proportional to 1,577.14, 2,364.04 and 536.20

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Solution

The fourth proportional to 1,577.14, 2,364.04 and 536.20 is: 803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.14 : 2,364.04 = 536.20 : x
  2. Step 2: Convert to fraction form
    1,577.14/2,364.04 = 536.20/x
  3. Step 3: Cross multiply
    1,577.14x = 2,364.04 × 536.20
  4. Step 4: Simplify right side
    1,577.14x = 1,267,598.25
  5. Step 5: Solve for x
    x = 1,267,598.25/1,577.14
  6. Step 6: Final answer
    x = 803.73

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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.