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Finding the Fourth Proportional to 1,131.51, 1,557.78 and 964.75

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Solution

The fourth proportional to 1,131.51, 1,557.78 and 964.75 is: 1,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.51 : 1,557.78 = 964.75 : x
  2. Step 2: Convert to fraction form
    1,131.51/1,557.78 = 964.75/x
  3. Step 3: Cross multiply
    1,131.51x = 1,557.78 × 964.75
  4. Step 4: Simplify right side
    1,131.51x = 1,502,868.26
  5. Step 5: Solve for x
    x = 1,502,868.26/1,131.51
  6. Step 6: Final answer
    x = 1,328.20

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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.