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Finding the Fourth Proportional to 1,050.10, 1,575.15 and 945.70

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Solution

The fourth proportional to 1,050.10, 1,575.15 and 945.70 is: 1,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.10 : 1,575.15 = 945.70 : x
  2. Step 2: Convert to fraction form
    1,050.10/1,575.15 = 945.70/x
  3. Step 3: Cross multiply
    1,050.10x = 1,575.15 × 945.70
  4. Step 4: Simplify right side
    1,050.10x = 1,489,619.36
  5. Step 5: Solve for x
    x = 1,489,619.36/1,050.10
  6. Step 6: Final answer
    x = 1,418.55

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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.