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Finding the Fourth Proportional to 1,039.63, 1,434.67 and 567.53

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Solution

The fourth proportional to 1,039.63, 1,434.67 and 567.53 is: 783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.63 : 1,434.67 = 567.53 : x
  2. Step 2: Convert to fraction form
    1,039.63/1,434.67 = 567.53/x
  3. Step 3: Cross multiply
    1,039.63x = 1,434.67 × 567.53
  4. Step 4: Simplify right side
    1,039.63x = 814,218.27
  5. Step 5: Solve for x
    x = 814,218.27/1,039.63
  6. Step 6: Final answer
    x = 783.18

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