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Finding the Fourth Proportional to 777.83, 1,071.50 and 653.40

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Solution

The fourth proportional to 777.83, 1,071.50 and 653.40 is: 900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.83 : 1,071.50 = 653.40 : x
  2. Step 2: Convert to fraction form
    777.83/1,071.50 = 653.40/x
  3. Step 3: Cross multiply
    777.83x = 1,071.50 × 653.40
  4. Step 4: Simplify right side
    777.83x = 700,114.83
  5. Step 5: Solve for x
    x = 700,114.83/777.83
  6. Step 6: Final answer
    x = 900.09

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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.