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Finding the Fourth Proportional to 653.16, 983.62 and 588.92

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Solution

The fourth proportional to 653.16, 983.62 and 588.92 is: 886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 983.62 = 588.92 : x
  2. Step 2: Convert to fraction form
    653.16/983.62 = 588.92/x
  3. Step 3: Cross multiply
    653.16x = 983.62 × 588.92
  4. Step 4: Simplify right side
    653.16x = 579,268.57
  5. Step 5: Solve for x
    x = 579,268.57/653.16
  6. Step 6: Final answer
    x = 886.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.