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Finding the Fourth Proportional to 1,153.49, 1,590.59 and 755.50

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Solution

The fourth proportional to 1,153.49, 1,590.59 and 755.50 is: 1,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.49 : 1,590.59 = 755.50 : x
  2. Step 2: Convert to fraction form
    1,153.49/1,590.59 = 755.50/x
  3. Step 3: Cross multiply
    1,153.49x = 1,590.59 × 755.50
  4. Step 4: Simplify right side
    1,153.49x = 1,201,700.00
  5. Step 5: Solve for x
    x = 1,201,700.00/1,153.49
  6. Step 6: Final answer
    x = 1,041.79

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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.