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Finding the Fourth Proportional to 1,016.65, 1,403 and 597.04

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Solution

The fourth proportional to 1,016.65, 1,403 and 597.04 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.65 : 1,403 = 597.04 : x
  2. Step 2: Convert to fraction form
    1,016.65/1,403 = 597.04/x
  3. Step 3: Cross multiply
    1,016.65x = 1,403 × 597.04
  4. Step 4: Simplify right side
    1,016.65x = 837,647.12
  5. Step 5: Solve for x
    x = 837,647.12/1,016.65
  6. Step 6: Final answer
    x = 823.93

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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.