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Finding the Fourth Proportional to 1,014.40, 1,510.94 and 967

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Solution

The fourth proportional to 1,014.40, 1,510.94 and 967 is: 1,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,510.94 = 967 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,510.94 = 967/x
  3. Step 3: Cross multiply
    1,014.40x = 1,510.94 × 967
  4. Step 4: Simplify right side
    1,014.40x = 1,461,078.98
  5. Step 5: Solve for x
    x = 1,461,078.98/1,014.40
  6. Step 6: Final answer
    x = 1,440.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.