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Finding the Fourth Proportional to 788.33, 1,088.15 and 705.29

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Solution

The fourth proportional to 788.33, 1,088.15 and 705.29 is: 973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.33 : 1,088.15 = 705.29 : x
  2. Step 2: Convert to fraction form
    788.33/1,088.15 = 705.29/x
  3. Step 3: Cross multiply
    788.33x = 1,088.15 × 705.29
  4. Step 4: Simplify right side
    788.33x = 767,452.35
  5. Step 5: Solve for x
    x = 767,452.35/788.33
  6. Step 6: Final answer
    x = 973.52

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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.