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Finding the Fourth Proportional to 1,430, 2,145.90 and 564.29

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Solution

The fourth proportional to 1,430, 2,145.90 and 564.29 is: 846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430 : 2,145.90 = 564.29 : x
  2. Step 2: Convert to fraction form
    1,430/2,145.90 = 564.29/x
  3. Step 3: Cross multiply
    1,430x = 2,145.90 × 564.29
  4. Step 4: Simplify right side
    1,430x = 1,210,909.91
  5. Step 5: Solve for x
    x = 1,210,909.91/1,430
  6. Step 6: Final answer
    x = 846.79

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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.