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Finding the Fourth Proportional to 1,042.84, 1,565 and 465.40

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Solution

The fourth proportional to 1,042.84, 1,565 and 465.40 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.84 : 1,565 = 465.40 : x
  2. Step 2: Convert to fraction form
    1,042.84/1,565 = 465.40/x
  3. Step 3: Cross multiply
    1,042.84x = 1,565 × 465.40
  4. Step 4: Simplify right side
    1,042.84x = 728,351
  5. Step 5: Solve for x
    x = 728,351/1,042.84
  6. Step 6: Final answer
    x = 698.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.