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Finding the Fourth Proportional to 1,054.84, 1,582.30 and 478.12

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Solution

The fourth proportional to 1,054.84, 1,582.30 and 478.12 is: 717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.84 : 1,582.30 = 478.12 : x
  2. Step 2: Convert to fraction form
    1,054.84/1,582.30 = 478.12/x
  3. Step 3: Cross multiply
    1,054.84x = 1,582.30 × 478.12
  4. Step 4: Simplify right side
    1,054.84x = 756,529.28
  5. Step 5: Solve for x
    x = 756,529.28/1,054.84
  6. Step 6: Final answer
    x = 717.20

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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.