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Finding the Fourth Proportional to 1,432.55, 1,976.75 and 802.95

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Solution

The fourth proportional to 1,432.55, 1,976.75 and 802.95 is: 1,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.55 : 1,976.75 = 802.95 : x
  2. Step 2: Convert to fraction form
    1,432.55/1,976.75 = 802.95/x
  3. Step 3: Cross multiply
    1,432.55x = 1,976.75 × 802.95
  4. Step 4: Simplify right side
    1,432.55x = 1,587,227.40
  5. Step 5: Solve for x
    x = 1,587,227.40/1,432.55
  6. Step 6: Final answer
    x = 1,107.98

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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.