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Finding the Fourth Proportional to 690.78, 1,036.76 and 685.64

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Solution

The fourth proportional to 690.78, 1,036.76 and 685.64 is: 1,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.78 : 1,036.76 = 685.64 : x
  2. Step 2: Convert to fraction form
    690.78/1,036.76 = 685.64/x
  3. Step 3: Cross multiply
    690.78x = 1,036.76 × 685.64
  4. Step 4: Simplify right side
    690.78x = 710,844.13
  5. Step 5: Solve for x
    x = 710,844.13/690.78
  6. Step 6: Final answer
    x = 1,029.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.