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Finding the Fourth Proportional to 1,038.63, 1,433.29 and 566.53

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Solution

The fourth proportional to 1,038.63, 1,433.29 and 566.53 is: 781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.63 : 1,433.29 = 566.53 : x
  2. Step 2: Convert to fraction form
    1,038.63/1,433.29 = 566.53/x
  3. Step 3: Cross multiply
    1,038.63x = 1,433.29 × 566.53
  4. Step 4: Simplify right side
    1,038.63x = 812,001.78
  5. Step 5: Solve for x
    x = 812,001.78/1,038.63
  6. Step 6: Final answer
    x = 781.80

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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.