Home / 1,471.04-2,205.48-702.08

Finding the Fourth Proportional to 1,471.04, 2,205.48 and 702.08

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Solution

The fourth proportional to 1,471.04, 2,205.48 and 702.08 is: 1,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.04 : 2,205.48 = 702.08 : x
  2. Step 2: Convert to fraction form
    1,471.04/2,205.48 = 702.08/x
  3. Step 3: Cross multiply
    1,471.04x = 2,205.48 × 702.08
  4. Step 4: Simplify right side
    1,471.04x = 1,548,423.40
  5. Step 5: Solve for x
    x = 1,548,423.40/1,471.04
  6. Step 6: Final answer
    x = 1,052.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.