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Finding the Fourth Proportional to 1,020.35, 1,532.55 and 874.05

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Solution

The fourth proportional to 1,020.35, 1,532.55 and 874.05 is: 1,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.35 : 1,532.55 = 874.05 : x
  2. Step 2: Convert to fraction form
    1,020.35/1,532.55 = 874.05/x
  3. Step 3: Cross multiply
    1,020.35x = 1,532.55 × 874.05
  4. Step 4: Simplify right side
    1,020.35x = 1,339,522.86
  5. Step 5: Solve for x
    x = 1,339,522.86/1,020.35
  6. Step 6: Final answer
    x = 1,312.80

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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.