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Finding the Fourth Proportional to 1,133.72, 1,564.54 and 661.91

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Solution

The fourth proportional to 1,133.72, 1,564.54 and 661.91 is: 913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.72 : 1,564.54 = 661.91 : x
  2. Step 2: Convert to fraction form
    1,133.72/1,564.54 = 661.91/x
  3. Step 3: Cross multiply
    1,133.72x = 1,564.54 × 661.91
  4. Step 4: Simplify right side
    1,133.72x = 1,035,575.19
  5. Step 5: Solve for x
    x = 1,035,575.19/1,133.72
  6. Step 6: Final answer
    x = 913.44

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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.