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Finding the Fourth Proportional to 1,473.64, 2,210.70 and 704.14

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Solution

The fourth proportional to 1,473.64, 2,210.70 and 704.14 is: 1,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.64 : 2,210.70 = 704.14 : x
  2. Step 2: Convert to fraction form
    1,473.64/2,210.70 = 704.14/x
  3. Step 3: Cross multiply
    1,473.64x = 2,210.70 × 704.14
  4. Step 4: Simplify right side
    1,473.64x = 1,556,642.30
  5. Step 5: Solve for x
    x = 1,556,642.30/1,473.64
  6. Step 6: Final answer
    x = 1,056.32

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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.