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Finding the Fourth Proportional to 1,089.86, 1,503.56 and 670.07

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Solution

The fourth proportional to 1,089.86, 1,503.56 and 670.07 is: 924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,503.56 = 670.07 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,503.56 = 670.07/x
  3. Step 3: Cross multiply
    1,089.86x = 1,503.56 × 670.07
  4. Step 4: Simplify right side
    1,089.86x = 1,007,495.88
  5. Step 5: Solve for x
    x = 1,007,495.88/1,089.86
  6. Step 6: Final answer
    x = 924.43

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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.