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Finding the Fourth Proportional to 1,478.56, 2,214.88 and 964

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Solution

The fourth proportional to 1,478.56, 2,214.88 and 964 is: 1,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.56 : 2,214.88 = 964 : x
  2. Step 2: Convert to fraction form
    1,478.56/2,214.88 = 964/x
  3. Step 3: Cross multiply
    1,478.56x = 2,214.88 × 964
  4. Step 4: Simplify right side
    1,478.56x = 2,135,144.32
  5. Step 5: Solve for x
    x = 2,135,144.32/1,478.56
  6. Step 6: Final answer
    x = 1,444.07

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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.