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Finding the Fourth Proportional to 1,134.07, 1,564.88 and 661.93

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Solution

The fourth proportional to 1,134.07, 1,564.88 and 661.93 is: 913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.07 : 1,564.88 = 661.93 : x
  2. Step 2: Convert to fraction form
    1,134.07/1,564.88 = 661.93/x
  3. Step 3: Cross multiply
    1,134.07x = 1,564.88 × 661.93
  4. Step 4: Simplify right side
    1,134.07x = 1,035,833.80
  5. Step 5: Solve for x
    x = 1,035,833.80/1,134.07
  6. Step 6: Final answer
    x = 913.38

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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.