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Finding the Fourth Proportional to 1,710.99, 2,566.47 and 556.74

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Solution

The fourth proportional to 1,710.99, 2,566.47 and 556.74 is: 835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.99 : 2,566.47 = 556.74 : x
  2. Step 2: Convert to fraction form
    1,710.99/2,566.47 = 556.74/x
  3. Step 3: Cross multiply
    1,710.99x = 2,566.47 × 556.74
  4. Step 4: Simplify right side
    1,710.99x = 1,428,858.60
  5. Step 5: Solve for x
    x = 1,428,858.60/1,710.99
  6. Step 6: Final answer
    x = 835.11

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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.