Home / 1,482.02-2,223.67-702.56

Finding the Fourth Proportional to 1,482.02, 2,223.67 and 702.56

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Solution

The fourth proportional to 1,482.02, 2,223.67 and 702.56 is: 1,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.02 : 2,223.67 = 702.56 : x
  2. Step 2: Convert to fraction form
    1,482.02/2,223.67 = 702.56/x
  3. Step 3: Cross multiply
    1,482.02x = 2,223.67 × 702.56
  4. Step 4: Simplify right side
    1,482.02x = 1,562,265.40
  5. Step 5: Solve for x
    x = 1,562,265.40/1,482.02
  6. Step 6: Final answer
    x = 1,054.15

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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.