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Finding the Fourth Proportional to 1,132.52, 1,698.93 and 1,070.27

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Solution

The fourth proportional to 1,132.52, 1,698.93 and 1,070.27 is: 1,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.52 : 1,698.93 = 1,070.27 : x
  2. Step 2: Convert to fraction form
    1,132.52/1,698.93 = 1,070.27/x
  3. Step 3: Cross multiply
    1,132.52x = 1,698.93 × 1,070.27
  4. Step 4: Simplify right side
    1,132.52x = 1,818,305.32
  5. Step 5: Solve for x
    x = 1,818,305.32/1,132.52
  6. Step 6: Final answer
    x = 1,605.55

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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.