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Finding the Fourth Proportional to 788.93, 1,089.17 and 509.58

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Solution

The fourth proportional to 788.93, 1,089.17 and 509.58 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.93 : 1,089.17 = 509.58 : x
  2. Step 2: Convert to fraction form
    788.93/1,089.17 = 509.58/x
  3. Step 3: Cross multiply
    788.93x = 1,089.17 × 509.58
  4. Step 4: Simplify right side
    788.93x = 555,013.80
  5. Step 5: Solve for x
    x = 555,013.80/788.93
  6. Step 6: Final answer
    x = 703.50

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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.