Home / 1,056.88-1,459.20-946.16

Finding the Fourth Proportional to 1,056.88, 1,459.20 and 946.16

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Solution

The fourth proportional to 1,056.88, 1,459.20 and 946.16 is: 1,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.88 : 1,459.20 = 946.16 : x
  2. Step 2: Convert to fraction form
    1,056.88/1,459.20 = 946.16/x
  3. Step 3: Cross multiply
    1,056.88x = 1,459.20 × 946.16
  4. Step 4: Simplify right side
    1,056.88x = 1,380,636.67
  5. Step 5: Solve for x
    x = 1,380,636.67/1,056.88
  6. Step 6: Final answer
    x = 1,306.33

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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.