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Finding the Fourth Proportional to 1,133.51, 1,564.29 and 661.71

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Solution

The fourth proportional to 1,133.51, 1,564.29 and 661.71 is: 913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.51 : 1,564.29 = 661.71 : x
  2. Step 2: Convert to fraction form
    1,133.51/1,564.29 = 661.71/x
  3. Step 3: Cross multiply
    1,133.51x = 1,564.29 × 661.71
  4. Step 4: Simplify right side
    1,133.51x = 1,035,106.34
  5. Step 5: Solve for x
    x = 1,035,106.34/1,133.51
  6. Step 6: Final answer
    x = 913.19

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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.