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Finding the Fourth Proportional to 1,089.17, 1,503.77 and 840.05

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Solution

The fourth proportional to 1,089.17, 1,503.77 and 840.05 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.17 : 1,503.77 = 840.05 : x
  2. Step 2: Convert to fraction form
    1,089.17/1,503.77 = 840.05/x
  3. Step 3: Cross multiply
    1,089.17x = 1,503.77 × 840.05
  4. Step 4: Simplify right side
    1,089.17x = 1,263,230.27
  5. Step 5: Solve for x
    x = 1,263,230.27/1,089.17
  6. Step 6: Final answer
    x = 1,159.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.