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Finding the Fourth Proportional to 1,010.16, 1,515.76 and 684.86

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Solution

The fourth proportional to 1,010.16, 1,515.76 and 684.86 is: 1,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.16 : 1,515.76 = 684.86 : x
  2. Step 2: Convert to fraction form
    1,010.16/1,515.76 = 684.86/x
  3. Step 3: Cross multiply
    1,010.16x = 1,515.76 × 684.86
  4. Step 4: Simplify right side
    1,010.16x = 1,038,074.10
  5. Step 5: Solve for x
    x = 1,038,074.10/1,010.16
  6. Step 6: Final answer
    x = 1,027.63

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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.