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Finding the Fourth Proportional to 1,577.74, 2,366.59 and 482.10

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Solution

The fourth proportional to 1,577.74, 2,366.59 and 482.10 is: 723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.74 : 2,366.59 = 482.10 : x
  2. Step 2: Convert to fraction form
    1,577.74/2,366.59 = 482.10/x
  3. Step 3: Cross multiply
    1,577.74x = 2,366.59 × 482.10
  4. Step 4: Simplify right side
    1,577.74x = 1,140,933.04
  5. Step 5: Solve for x
    x = 1,140,933.04/1,577.74
  6. Step 6: Final answer
    x = 723.14

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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.