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Finding the Fourth Proportional to 1,075.01, 1,483.83 and 702.05

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Solution

The fourth proportional to 1,075.01, 1,483.83 and 702.05 is: 969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.01 : 1,483.83 = 702.05 : x
  2. Step 2: Convert to fraction form
    1,075.01/1,483.83 = 702.05/x
  3. Step 3: Cross multiply
    1,075.01x = 1,483.83 × 702.05
  4. Step 4: Simplify right side
    1,075.01x = 1,041,717.52
  5. Step 5: Solve for x
    x = 1,041,717.52/1,075.01
  6. Step 6: Final answer
    x = 969.03

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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.