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Finding the Fourth Proportional to 1,075.48, 1,483.92 and 702.92

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Solution

The fourth proportional to 1,075.48, 1,483.92 and 702.92 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.48 : 1,483.92 = 702.92 : x
  2. Step 2: Convert to fraction form
    1,075.48/1,483.92 = 702.92/x
  3. Step 3: Cross multiply
    1,075.48x = 1,483.92 × 702.92
  4. Step 4: Simplify right side
    1,075.48x = 1,043,077.05
  5. Step 5: Solve for x
    x = 1,043,077.05/1,075.48
  6. Step 6: Final answer
    x = 969.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.