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Finding the Fourth Proportional to 1,405.47, 2,107.68 and 468.24

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Solution

The fourth proportional to 1,405.47, 2,107.68 and 468.24 is: 702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.47 : 2,107.68 = 468.24 : x
  2. Step 2: Convert to fraction form
    1,405.47/2,107.68 = 468.24/x
  3. Step 3: Cross multiply
    1,405.47x = 2,107.68 × 468.24
  4. Step 4: Simplify right side
    1,405.47x = 986,900.08
  5. Step 5: Solve for x
    x = 986,900.08/1,405.47
  6. Step 6: Final answer
    x = 702.19

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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.