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Finding the Fourth Proportional to 1,135.49, 1,703.53 and 713.83

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Solution

The fourth proportional to 1,135.49, 1,703.53 and 713.83 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.49 : 1,703.53 = 713.83 : x
  2. Step 2: Convert to fraction form
    1,135.49/1,703.53 = 713.83/x
  3. Step 3: Cross multiply
    1,135.49x = 1,703.53 × 713.83
  4. Step 4: Simplify right side
    1,135.49x = 1,216,020.52
  5. Step 5: Solve for x
    x = 1,216,020.52/1,135.49
  6. Step 6: Final answer
    x = 1,070.93

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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.