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Finding the Fourth Proportional to 1,430.52, 2,145.78 and 565.08

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Solution

The fourth proportional to 1,430.52, 2,145.78 and 565.08 is: 847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.52 : 2,145.78 = 565.08 : x
  2. Step 2: Convert to fraction form
    1,430.52/2,145.78 = 565.08/x
  3. Step 3: Cross multiply
    1,430.52x = 2,145.78 × 565.08
  4. Step 4: Simplify right side
    1,430.52x = 1,212,537.36
  5. Step 5: Solve for x
    x = 1,212,537.36/1,430.52
  6. Step 6: Final answer
    x = 847.62

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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.