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Finding the Fourth Proportional to 1,322.94, 1,984.64 and 592.48

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Solution

The fourth proportional to 1,322.94, 1,984.64 and 592.48 is: 888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.94 : 1,984.64 = 592.48 : x
  2. Step 2: Convert to fraction form
    1,322.94/1,984.64 = 592.48/x
  3. Step 3: Cross multiply
    1,322.94x = 1,984.64 × 592.48
  4. Step 4: Simplify right side
    1,322.94x = 1,175,859.51
  5. Step 5: Solve for x
    x = 1,175,859.51/1,322.94
  6. Step 6: Final answer
    x = 888.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.