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Finding the Fourth Proportional to 788.85, 1,088.75 and 457.36

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Solution

The fourth proportional to 788.85, 1,088.75 and 457.36 is: 631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.85 : 1,088.75 = 457.36 : x
  2. Step 2: Convert to fraction form
    788.85/1,088.75 = 457.36/x
  3. Step 3: Cross multiply
    788.85x = 1,088.75 × 457.36
  4. Step 4: Simplify right side
    788.85x = 497,949.12
  5. Step 5: Solve for x
    x = 497,949.12/788.85
  6. Step 6: Final answer
    x = 631.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.