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Finding the Fourth Proportional to 960.34, 1,323.93 and 812.38

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Solution

The fourth proportional to 960.34, 1,323.93 and 812.38 is: 1,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.34 : 1,323.93 = 812.38 : x
  2. Step 2: Convert to fraction form
    960.34/1,323.93 = 812.38/x
  3. Step 3: Cross multiply
    960.34x = 1,323.93 × 812.38
  4. Step 4: Simplify right side
    960.34x = 1,075,534.25
  5. Step 5: Solve for x
    x = 1,075,534.25/960.34
  6. Step 6: Final answer
    x = 1,119.95

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1.5x scale

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.