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Finding the Fourth Proportional to 1,015.70, 1,516.96 and 924.98

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Solution

The fourth proportional to 1,015.70, 1,516.96 and 924.98 is: 1,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.70 : 1,516.96 = 924.98 : x
  2. Step 2: Convert to fraction form
    1,015.70/1,516.96 = 924.98/x
  3. Step 3: Cross multiply
    1,015.70x = 1,516.96 × 924.98
  4. Step 4: Simplify right side
    1,015.70x = 1,403,157.66
  5. Step 5: Solve for x
    x = 1,403,157.66/1,015.70
  6. Step 6: Final answer
    x = 1,381.47

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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.