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Finding the Fourth Proportional to 1,054.76, 1,581.71 and 438.17

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Solution

The fourth proportional to 1,054.76, 1,581.71 and 438.17 is: 657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.76 : 1,581.71 = 438.17 : x
  2. Step 2: Convert to fraction form
    1,054.76/1,581.71 = 438.17/x
  3. Step 3: Cross multiply
    1,054.76x = 1,581.71 × 438.17
  4. Step 4: Simplify right side
    1,054.76x = 693,047.77
  5. Step 5: Solve for x
    x = 693,047.77/1,054.76
  6. Step 6: Final answer
    x = 657.07

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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.