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Finding the Fourth Proportional to 1,114.50, 1,537.09 and 835.40

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Solution

The fourth proportional to 1,114.50, 1,537.09 and 835.40 is: 1,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.50 : 1,537.09 = 835.40 : x
  2. Step 2: Convert to fraction form
    1,114.50/1,537.09 = 835.40/x
  3. Step 3: Cross multiply
    1,114.50x = 1,537.09 × 835.40
  4. Step 4: Simplify right side
    1,114.50x = 1,284,086.74
  5. Step 5: Solve for x
    x = 1,284,086.74/1,114.50
  6. Step 6: Final answer
    x = 1,152.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.