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Finding the Fourth Proportional to 1,012.47, 1,520.02 and 970.96

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Solution

The fourth proportional to 1,012.47, 1,520.02 and 970.96 is: 1,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.47 : 1,520.02 = 970.96 : x
  2. Step 2: Convert to fraction form
    1,012.47/1,520.02 = 970.96/x
  3. Step 3: Cross multiply
    1,012.47x = 1,520.02 × 970.96
  4. Step 4: Simplify right side
    1,012.47x = 1,475,877.70
  5. Step 5: Solve for x
    x = 1,475,877.70/1,012.47
  6. Step 6: Final answer
    x = 1,457.69

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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.