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Finding the Fourth Proportional to 1,114.53, 1,536.33 and 917.70

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Solution

The fourth proportional to 1,114.53, 1,536.33 and 917.70 is: 1,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.53 : 1,536.33 = 917.70 : x
  2. Step 2: Convert to fraction form
    1,114.53/1,536.33 = 917.70/x
  3. Step 3: Cross multiply
    1,114.53x = 1,536.33 × 917.70
  4. Step 4: Simplify right side
    1,114.53x = 1,409,890.04
  5. Step 5: Solve for x
    x = 1,409,890.04/1,114.53
  6. Step 6: Final answer
    x = 1,265.01

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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.