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Finding the Fourth Proportional to 1,093.99, 1,510.08 and 929.15

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Solution

The fourth proportional to 1,093.99, 1,510.08 and 929.15 is: 1,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.99 : 1,510.08 = 929.15 : x
  2. Step 2: Convert to fraction form
    1,093.99/1,510.08 = 929.15/x
  3. Step 3: Cross multiply
    1,093.99x = 1,510.08 × 929.15
  4. Step 4: Simplify right side
    1,093.99x = 1,403,090.83
  5. Step 5: Solve for x
    x = 1,403,090.83/1,093.99
  6. Step 6: Final answer
    x = 1,282.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.