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Finding the Fourth Proportional to 1,113.69, 1,535.96 and 834.58

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Solution

The fourth proportional to 1,113.69, 1,535.96 and 834.58 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.69 : 1,535.96 = 834.58 : x
  2. Step 2: Convert to fraction form
    1,113.69/1,535.96 = 834.58/x
  3. Step 3: Cross multiply
    1,113.69x = 1,535.96 × 834.58
  4. Step 4: Simplify right side
    1,113.69x = 1,281,881.50
  5. Step 5: Solve for x
    x = 1,281,881.50/1,113.69
  6. Step 6: Final answer
    x = 1,151.02

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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.