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Finding the Fourth Proportional to 963.32, 1,445.13 and 476.40

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Solution

The fourth proportional to 963.32, 1,445.13 and 476.40 is: 714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.32 : 1,445.13 = 476.40 : x
  2. Step 2: Convert to fraction form
    963.32/1,445.13 = 476.40/x
  3. Step 3: Cross multiply
    963.32x = 1,445.13 × 476.40
  4. Step 4: Simplify right side
    963.32x = 688,459.93
  5. Step 5: Solve for x
    x = 688,459.93/963.32
  6. Step 6: Final answer
    x = 714.67

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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.