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Finding the Fourth Proportional to 914.88, 1,259.36 and 760

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Solution

The fourth proportional to 914.88, 1,259.36 and 760 is: 1,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.88 : 1,259.36 = 760 : x
  2. Step 2: Convert to fraction form
    914.88/1,259.36 = 760/x
  3. Step 3: Cross multiply
    914.88x = 1,259.36 × 760
  4. Step 4: Simplify right side
    914.88x = 957,113.60
  5. Step 5: Solve for x
    x = 957,113.60/914.88
  6. Step 6: Final answer
    x = 1,046.16

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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.