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Finding the Fourth Proportional to 788.64, 1,182.18 and 459.16

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Solution

The fourth proportional to 788.64, 1,182.18 and 459.16 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,182.18 = 459.16 : x
  2. Step 2: Convert to fraction form
    788.64/1,182.18 = 459.16/x
  3. Step 3: Cross multiply
    788.64x = 1,182.18 × 459.16
  4. Step 4: Simplify right side
    788.64x = 542,809.77
  5. Step 5: Solve for x
    x = 542,809.77/788.64
  6. Step 6: Final answer
    x = 688.29

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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.