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Finding the Fourth Proportional to 1,041.76, 1,437.56 and 821.28

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Solution

The fourth proportional to 1,041.76, 1,437.56 and 821.28 is: 1,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.76 : 1,437.56 = 821.28 : x
  2. Step 2: Convert to fraction form
    1,041.76/1,437.56 = 821.28/x
  3. Step 3: Cross multiply
    1,041.76x = 1,437.56 × 821.28
  4. Step 4: Simplify right side
    1,041.76x = 1,180,639.28
  5. Step 5: Solve for x
    x = 1,180,639.28/1,041.76
  6. Step 6: Final answer
    x = 1,133.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.