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Finding the Fourth Proportional to 1,016.16, 1,402.08 and 596.40

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Solution

The fourth proportional to 1,016.16, 1,402.08 and 596.40 is: 822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.16 : 1,402.08 = 596.40 : x
  2. Step 2: Convert to fraction form
    1,016.16/1,402.08 = 596.40/x
  3. Step 3: Cross multiply
    1,016.16x = 1,402.08 × 596.40
  4. Step 4: Simplify right side
    1,016.16x = 836,200.51
  5. Step 5: Solve for x
    x = 836,200.51/1,016.16
  6. Step 6: Final answer
    x = 822.90

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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.