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Finding the Fourth Proportional to 788.80, 1,088.01 and 508.94

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Solution

The fourth proportional to 788.80, 1,088.01 and 508.94 is: 701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,088.01 = 508.94 : x
  2. Step 2: Convert to fraction form
    788.80/1,088.01 = 508.94/x
  3. Step 3: Cross multiply
    788.80x = 1,088.01 × 508.94
  4. Step 4: Simplify right side
    788.80x = 553,731.81
  5. Step 5: Solve for x
    x = 553,731.81/788.80
  6. Step 6: Final answer
    x = 701.99

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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.