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Finding the Fourth Proportional to 1,051.57, 1,575.46 and 846.24

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Solution

The fourth proportional to 1,051.57, 1,575.46 and 846.24 is: 1,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.57 : 1,575.46 = 846.24 : x
  2. Step 2: Convert to fraction form
    1,051.57/1,575.46 = 846.24/x
  3. Step 3: Cross multiply
    1,051.57x = 1,575.46 × 846.24
  4. Step 4: Simplify right side
    1,051.57x = 1,333,217.27
  5. Step 5: Solve for x
    x = 1,333,217.27/1,051.57
  6. Step 6: Final answer
    x = 1,267.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.