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Finding the Fourth Proportional to 1,430.72, 2,145.75 and 390.48

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Solution

The fourth proportional to 1,430.72, 2,145.75 and 390.48 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.72 : 2,145.75 = 390.48 : x
  2. Step 2: Convert to fraction form
    1,430.72/2,145.75 = 390.48/x
  3. Step 3: Cross multiply
    1,430.72x = 2,145.75 × 390.48
  4. Step 4: Simplify right side
    1,430.72x = 837,865.24
  5. Step 5: Solve for x
    x = 837,865.24/1,430.72
  6. Step 6: Final answer
    x = 585.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.