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Finding the Fourth Proportional to 788.84, 1,088.49 and 457.45

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Solution

The fourth proportional to 788.84, 1,088.49 and 457.45 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.84 : 1,088.49 = 457.45 : x
  2. Step 2: Convert to fraction form
    788.84/1,088.49 = 457.45/x
  3. Step 3: Cross multiply
    788.84x = 1,088.49 × 457.45
  4. Step 4: Simplify right side
    788.84x = 497,926.17
  5. Step 5: Solve for x
    x = 497,926.17/788.84
  6. Step 6: Final answer
    x = 631.21

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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.