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Finding the Fourth Proportional to 1,133.07, 1,705.70 and 1,014

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Solution

The fourth proportional to 1,133.07, 1,705.70 and 1,014 is: 1,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.07 : 1,705.70 = 1,014 : x
  2. Step 2: Convert to fraction form
    1,133.07/1,705.70 = 1,014/x
  3. Step 3: Cross multiply
    1,133.07x = 1,705.70 × 1,014
  4. Step 4: Simplify right side
    1,133.07x = 1,729,574.73
  5. Step 5: Solve for x
    x = 1,729,574.73/1,133.07
  6. Step 6: Final answer
    x = 1,526.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.