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Finding the Fourth Proportional to 1,051.65, 1,577.01 and 321.06

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Solution

The fourth proportional to 1,051.65, 1,577.01 and 321.06 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.65 : 1,577.01 = 321.06 : x
  2. Step 2: Convert to fraction form
    1,051.65/1,577.01 = 321.06/x
  3. Step 3: Cross multiply
    1,051.65x = 1,577.01 × 321.06
  4. Step 4: Simplify right side
    1,051.65x = 506,314.83
  5. Step 5: Solve for x
    x = 506,314.83/1,051.65
  6. Step 6: Final answer
    x = 481.45

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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.