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Finding the Fourth Proportional to 931.64, 1,397.36 and 469.23

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Solution

The fourth proportional to 931.64, 1,397.36 and 469.23 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.64 : 1,397.36 = 469.23 : x
  2. Step 2: Convert to fraction form
    931.64/1,397.36 = 469.23/x
  3. Step 3: Cross multiply
    931.64x = 1,397.36 × 469.23
  4. Step 4: Simplify right side
    931.64x = 655,684.41
  5. Step 5: Solve for x
    x = 655,684.41/931.64
  6. Step 6: Final answer
    x = 703.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.