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Finding the Fourth Proportional to 788.78, 1,088.64 and 562.01

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Solution

The fourth proportional to 788.78, 1,088.64 and 562.01 is: 775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.78 : 1,088.64 = 562.01 : x
  2. Step 2: Convert to fraction form
    788.78/1,088.64 = 562.01/x
  3. Step 3: Cross multiply
    788.78x = 1,088.64 × 562.01
  4. Step 4: Simplify right side
    788.78x = 611,826.57
  5. Step 5: Solve for x
    x = 611,826.57/788.78
  6. Step 6: Final answer
    x = 775.66

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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.