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Finding the Fourth Proportional to 1,033.20, 1,425.66 and 567.45

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Solution

The fourth proportional to 1,033.20, 1,425.66 and 567.45 is: 783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,425.66 = 567.45 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,425.66 = 567.45/x
  3. Step 3: Cross multiply
    1,033.20x = 1,425.66 × 567.45
  4. Step 4: Simplify right side
    1,033.20x = 808,990.77
  5. Step 5: Solve for x
    x = 808,990.77/1,033.20
  6. Step 6: Final answer
    x = 783.00

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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.