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Finding the Fourth Proportional to 1,075.92, 1,483.86 and 910.50

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Solution

The fourth proportional to 1,075.92, 1,483.86 and 910.50 is: 1,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.92 : 1,483.86 = 910.50 : x
  2. Step 2: Convert to fraction form
    1,075.92/1,483.86 = 910.50/x
  3. Step 3: Cross multiply
    1,075.92x = 1,483.86 × 910.50
  4. Step 4: Simplify right side
    1,075.92x = 1,351,054.53
  5. Step 5: Solve for x
    x = 1,351,054.53/1,075.92
  6. Step 6: Final answer
    x = 1,255.72

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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.