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Finding the Fourth Proportional to 1,089.74, 1,503.83 and 647.66

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Solution

The fourth proportional to 1,089.74, 1,503.83 and 647.66 is: 893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.74 : 1,503.83 = 647.66 : x
  2. Step 2: Convert to fraction form
    1,089.74/1,503.83 = 647.66/x
  3. Step 3: Cross multiply
    1,089.74x = 1,503.83 × 647.66
  4. Step 4: Simplify right side
    1,089.74x = 973,975.92
  5. Step 5: Solve for x
    x = 973,975.92/1,089.74
  6. Step 6: Final answer
    x = 893.77

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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.