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Finding the Fourth Proportional to 840.72, 1,159.04 and 822.32

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Solution

The fourth proportional to 840.72, 1,159.04 and 822.32 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.72 : 1,159.04 = 822.32 : x
  2. Step 2: Convert to fraction form
    840.72/1,159.04 = 822.32/x
  3. Step 3: Cross multiply
    840.72x = 1,159.04 × 822.32
  4. Step 4: Simplify right side
    840.72x = 953,101.77
  5. Step 5: Solve for x
    x = 953,101.77/840.72
  6. Step 6: Final answer
    x = 1,133.67

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1.5x scale

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.