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Finding the Fourth Proportional to 1,011.86, 1,518.23 and 931.13

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Solution

The fourth proportional to 1,011.86, 1,518.23 and 931.13 is: 1,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.86 : 1,518.23 = 931.13 : x
  2. Step 2: Convert to fraction form
    1,011.86/1,518.23 = 931.13/x
  3. Step 3: Cross multiply
    1,011.86x = 1,518.23 × 931.13
  4. Step 4: Simplify right side
    1,011.86x = 1,413,669.50
  5. Step 5: Solve for x
    x = 1,413,669.50/1,011.86
  6. Step 6: Final answer
    x = 1,397.10

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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.