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Finding the Fourth Proportional to 1,132.18, 1,697.56 and 670.07

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Solution

The fourth proportional to 1,132.18, 1,697.56 and 670.07 is: 1,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.18 : 1,697.56 = 670.07 : x
  2. Step 2: Convert to fraction form
    1,132.18/1,697.56 = 670.07/x
  3. Step 3: Cross multiply
    1,132.18x = 1,697.56 × 670.07
  4. Step 4: Simplify right side
    1,132.18x = 1,137,486.60
  5. Step 5: Solve for x
    x = 1,137,486.60/1,132.18
  6. Step 6: Final answer
    x = 1,004.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.