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Finding the Fourth Proportional to 1,051.42, 1,577.36 and 357.96

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Solution

The fourth proportional to 1,051.42, 1,577.36 and 357.96 is: 537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,577.36 = 357.96 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,577.36 = 357.96/x
  3. Step 3: Cross multiply
    1,051.42x = 1,577.36 × 357.96
  4. Step 4: Simplify right side
    1,051.42x = 564,630.00
  5. Step 5: Solve for x
    x = 564,630.00/1,051.42
  6. Step 6: Final answer
    x = 537.02

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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.