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Finding the Fourth Proportional to 1,133.75, 1,564.18 and 741.00

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Solution

The fourth proportional to 1,133.75, 1,564.18 and 741.00 is: 1,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.75 : 1,564.18 = 741.00 : x
  2. Step 2: Convert to fraction form
    1,133.75/1,564.18 = 741.00/x
  3. Step 3: Cross multiply
    1,133.75x = 1,564.18 × 741.00
  4. Step 4: Simplify right side
    1,133.75x = 1,159,061.39
  5. Step 5: Solve for x
    x = 1,159,061.39/1,133.75
  6. Step 6: Final answer
    x = 1,022.32

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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.