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Finding the Fourth Proportional to 1,710.26, 2,564.98 and 477.71

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Solution

The fourth proportional to 1,710.26, 2,564.98 and 477.71 is: 716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.26 : 2,564.98 = 477.71 : x
  2. Step 2: Convert to fraction form
    1,710.26/2,564.98 = 477.71/x
  3. Step 3: Cross multiply
    1,710.26x = 2,564.98 × 477.71
  4. Step 4: Simplify right side
    1,710.26x = 1,225,316.60
  5. Step 5: Solve for x
    x = 1,225,316.60/1,710.26
  6. Step 6: Final answer
    x = 716.45

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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.