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Finding the Fourth Proportional to 1,054.75, 1,582.49 and 470.17

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Solution

The fourth proportional to 1,054.75, 1,582.49 and 470.17 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.75 : 1,582.49 = 470.17 : x
  2. Step 2: Convert to fraction form
    1,054.75/1,582.49 = 470.17/x
  3. Step 3: Cross multiply
    1,054.75x = 1,582.49 × 470.17
  4. Step 4: Simplify right side
    1,054.75x = 744,031.41
  5. Step 5: Solve for x
    x = 744,031.41/1,054.75
  6. Step 6: Final answer
    x = 705.41

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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.