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Finding the Fourth Proportional to 1,016.85, 1,403.07 and 597.27

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Solution

The fourth proportional to 1,016.85, 1,403.07 and 597.27 is: 824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.85 : 1,403.07 = 597.27 : x
  2. Step 2: Convert to fraction form
    1,016.85/1,403.07 = 597.27/x
  3. Step 3: Cross multiply
    1,016.85x = 1,403.07 × 597.27
  4. Step 4: Simplify right side
    1,016.85x = 838,018.00
  5. Step 5: Solve for x
    x = 838,018.00/1,016.85
  6. Step 6: Final answer
    x = 824.13

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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.