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Finding the Fourth Proportional to 957.76, 1,437.12 and 830.40

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Solution

The fourth proportional to 957.76, 1,437.12 and 830.40 is: 1,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 1,437.12 = 830.40 : x
  2. Step 2: Convert to fraction form
    957.76/1,437.12 = 830.40/x
  3. Step 3: Cross multiply
    957.76x = 1,437.12 × 830.40
  4. Step 4: Simplify right side
    957.76x = 1,193,384.45
  5. Step 5: Solve for x
    x = 1,193,384.45/957.76
  6. Step 6: Final answer
    x = 1,246.02

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Why These Related Problems?

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