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Finding the Fourth Proportional to 1,434.98, 1,981.06 and 875.58

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Solution

The fourth proportional to 1,434.98, 1,981.06 and 875.58 is: 1,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.98 : 1,981.06 = 875.58 : x
  2. Step 2: Convert to fraction form
    1,434.98/1,981.06 = 875.58/x
  3. Step 3: Cross multiply
    1,434.98x = 1,981.06 × 875.58
  4. Step 4: Simplify right side
    1,434.98x = 1,734,566.90
  5. Step 5: Solve for x
    x = 1,734,566.90/1,434.98
  6. Step 6: Final answer
    x = 1,208.77

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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.