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Finding the Fourth Proportional to 1,008.64, 1,391.78 and 589.12

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Solution

The fourth proportional to 1,008.64, 1,391.78 and 589.12 is: 812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.64 : 1,391.78 = 589.12 : x
  2. Step 2: Convert to fraction form
    1,008.64/1,391.78 = 589.12/x
  3. Step 3: Cross multiply
    1,008.64x = 1,391.78 × 589.12
  4. Step 4: Simplify right side
    1,008.64x = 819,925.43
  5. Step 5: Solve for x
    x = 819,925.43/1,008.64
  6. Step 6: Final answer
    x = 812.90

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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.