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Finding the Fourth Proportional to 1,322.66, 1,984.68 and 592.10

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Solution

The fourth proportional to 1,322.66, 1,984.68 and 592.10 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.66 : 1,984.68 = 592.10 : x
  2. Step 2: Convert to fraction form
    1,322.66/1,984.68 = 592.10/x
  3. Step 3: Cross multiply
    1,322.66x = 1,984.68 × 592.10
  4. Step 4: Simplify right side
    1,322.66x = 1,175,119.10
  5. Step 5: Solve for x
    x = 1,175,119.10/1,322.66
  6. Step 6: Final answer
    x = 888.45

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Why These Related Problems?

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