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Finding the Fourth Proportional to 840.76, 1,159.86 and 693.32

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Solution

The fourth proportional to 840.76, 1,159.86 and 693.32 is: 956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,159.86 = 693.32 : x
  2. Step 2: Convert to fraction form
    840.76/1,159.86 = 693.32/x
  3. Step 3: Cross multiply
    840.76x = 1,159.86 × 693.32
  4. Step 4: Simplify right side
    840.76x = 804,154.14
  5. Step 5: Solve for x
    x = 804,154.14/840.76
  6. Step 6: Final answer
    x = 956.46

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