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Finding the Fourth Proportional to 899.51, 1,347.44 and 465.75

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Solution

The fourth proportional to 899.51, 1,347.44 and 465.75 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.51 : 1,347.44 = 465.75 : x
  2. Step 2: Convert to fraction form
    899.51/1,347.44 = 465.75/x
  3. Step 3: Cross multiply
    899.51x = 1,347.44 × 465.75
  4. Step 4: Simplify right side
    899.51x = 627,567.85
  5. Step 5: Solve for x
    x = 627,567.85/899.51
  6. Step 6: Final answer
    x = 697.68

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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.