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Finding the Fourth Proportional to 1,659.07, 2,289.53 and 913.02

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Solution

The fourth proportional to 1,659.07, 2,289.53 and 913.02 is: 1,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.07 : 2,289.53 = 913.02 : x
  2. Step 2: Convert to fraction form
    1,659.07/2,289.53 = 913.02/x
  3. Step 3: Cross multiply
    1,659.07x = 2,289.53 × 913.02
  4. Step 4: Simplify right side
    1,659.07x = 2,090,386.68
  5. Step 5: Solve for x
    x = 2,090,386.68/1,659.07
  6. Step 6: Final answer
    x = 1,259.97

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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.