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Finding the Fourth Proportional to 1,141.42, 1,574.64 and 716.33

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Solution

The fourth proportional to 1,141.42, 1,574.64 and 716.33 is: 988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.42 : 1,574.64 = 716.33 : x
  2. Step 2: Convert to fraction form
    1,141.42/1,574.64 = 716.33/x
  3. Step 3: Cross multiply
    1,141.42x = 1,574.64 × 716.33
  4. Step 4: Simplify right side
    1,141.42x = 1,127,965.81
  5. Step 5: Solve for x
    x = 1,127,965.81/1,141.42
  6. Step 6: Final answer
    x = 988.21

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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.