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Finding the Fourth Proportional to 1,574.49, 2,362.19 and 478.94

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Solution

The fourth proportional to 1,574.49, 2,362.19 and 478.94 is: 718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.49 : 2,362.19 = 478.94 : x
  2. Step 2: Convert to fraction form
    1,574.49/2,362.19 = 478.94/x
  3. Step 3: Cross multiply
    1,574.49x = 2,362.19 × 478.94
  4. Step 4: Simplify right side
    1,574.49x = 1,131,341.06
  5. Step 5: Solve for x
    x = 1,131,341.06/1,574.49
  6. Step 6: Final answer
    x = 718.55

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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.