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Finding the Fourth Proportional to 899.63, 1,347.00 and 465.87

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Solution

The fourth proportional to 899.63, 1,347.00 and 465.87 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.63 : 1,347.00 = 465.87 : x
  2. Step 2: Convert to fraction form
    899.63/1,347.00 = 465.87/x
  3. Step 3: Cross multiply
    899.63x = 1,347.00 × 465.87
  4. Step 4: Simplify right side
    899.63x = 627,530.19
  5. Step 5: Solve for x
    x = 627,530.19/899.63
  6. Step 6: Final answer
    x = 697.54

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Why These Related Problems?

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