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Finding the Fourth Proportional to 744.19, 1,027.00 and 412.64

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Solution

The fourth proportional to 744.19, 1,027.00 and 412.64 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.19 : 1,027.00 = 412.64 : x
  2. Step 2: Convert to fraction form
    744.19/1,027.00 = 412.64/x
  3. Step 3: Cross multiply
    744.19x = 1,027.00 × 412.64
  4. Step 4: Simplify right side
    744.19x = 423,779.22
  5. Step 5: Solve for x
    x = 423,779.22/744.19
  6. Step 6: Final answer
    x = 569.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.