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Finding the Fourth Proportional to 1,038.63, 1,433.25 and 572.88

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Solution

The fourth proportional to 1,038.63, 1,433.25 and 572.88 is: 790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.63 : 1,433.25 = 572.88 : x
  2. Step 2: Convert to fraction form
    1,038.63/1,433.25 = 572.88/x
  3. Step 3: Cross multiply
    1,038.63x = 1,433.25 × 572.88
  4. Step 4: Simplify right side
    1,038.63x = 821,080.26
  5. Step 5: Solve for x
    x = 821,080.26/1,038.63
  6. Step 6: Final answer
    x = 790.54

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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.