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Finding the Fourth Proportional to 1,577.93, 2,366.33 and 467.01

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Solution

The fourth proportional to 1,577.93, 2,366.33 and 467.01 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.93 : 2,366.33 = 467.01 : x
  2. Step 2: Convert to fraction form
    1,577.93/2,366.33 = 467.01/x
  3. Step 3: Cross multiply
    1,577.93x = 2,366.33 × 467.01
  4. Step 4: Simplify right side
    1,577.93x = 1,105,097.44
  5. Step 5: Solve for x
    x = 1,105,097.44/1,577.93
  6. Step 6: Final answer
    x = 700.35

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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.