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Finding the Fourth Proportional to 1,459.94, 2,015.62 and 929.12

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Solution

The fourth proportional to 1,459.94, 2,015.62 and 929.12 is: 1,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.94 : 2,015.62 = 929.12 : x
  2. Step 2: Convert to fraction form
    1,459.94/2,015.62 = 929.12/x
  3. Step 3: Cross multiply
    1,459.94x = 2,015.62 × 929.12
  4. Step 4: Simplify right side
    1,459.94x = 1,872,740.45
  5. Step 5: Solve for x
    x = 1,872,740.45/1,459.94
  6. Step 6: Final answer
    x = 1,282.76

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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.