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Finding the Fourth Proportional to 1,435.98, 1,981.75 and 876.30

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Solution

The fourth proportional to 1,435.98, 1,981.75 and 876.30 is: 1,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.98 : 1,981.75 = 876.30 : x
  2. Step 2: Convert to fraction form
    1,435.98/1,981.75 = 876.30/x
  3. Step 3: Cross multiply
    1,435.98x = 1,981.75 × 876.30
  4. Step 4: Simplify right side
    1,435.98x = 1,736,607.53
  5. Step 5: Solve for x
    x = 1,736,607.53/1,435.98
  6. Step 6: Final answer
    x = 1,209.35

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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.