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Finding the Fourth Proportional to 1,430.65, 2,145.84 and 456.49

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Solution

The fourth proportional to 1,430.65, 2,145.84 and 456.49 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.65 : 2,145.84 = 456.49 : x
  2. Step 2: Convert to fraction form
    1,430.65/2,145.84 = 456.49/x
  3. Step 3: Cross multiply
    1,430.65x = 2,145.84 × 456.49
  4. Step 4: Simplify right side
    1,430.65x = 979,554.50
  5. Step 5: Solve for x
    x = 979,554.50/1,430.65
  6. Step 6: Final answer
    x = 684.69

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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.