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Finding the Fourth Proportional to 931.98, 1,397.35 and 469.06

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Solution

The fourth proportional to 931.98, 1,397.35 and 469.06 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,397.35 = 469.06 : x
  2. Step 2: Convert to fraction form
    931.98/1,397.35 = 469.06/x
  3. Step 3: Cross multiply
    931.98x = 1,397.35 × 469.06
  4. Step 4: Simplify right side
    931.98x = 655,440.99
  5. Step 5: Solve for x
    x = 655,440.99/931.98
  6. Step 6: Final answer
    x = 703.28

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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.