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Finding the Fourth Proportional to 788.79, 1,088.49 and 434.70

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Solution

The fourth proportional to 788.79, 1,088.49 and 434.70 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.79 : 1,088.49 = 434.70 : x
  2. Step 2: Convert to fraction form
    788.79/1,088.49 = 434.70/x
  3. Step 3: Cross multiply
    788.79x = 1,088.49 × 434.70
  4. Step 4: Simplify right side
    788.79x = 473,160.31
  5. Step 5: Solve for x
    x = 473,160.31/788.79
  6. Step 6: Final answer
    x = 599.85

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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.