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Finding the Fourth Proportional to 1,062.25, 1,465.98 and 596.50

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Solution

The fourth proportional to 1,062.25, 1,465.98 and 596.50 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.25 : 1,465.98 = 596.50 : x
  2. Step 2: Convert to fraction form
    1,062.25/1,465.98 = 596.50/x
  3. Step 3: Cross multiply
    1,062.25x = 1,465.98 × 596.50
  4. Step 4: Simplify right side
    1,062.25x = 874,457.07
  5. Step 5: Solve for x
    x = 874,457.07/1,062.25
  6. Step 6: Final answer
    x = 823.21

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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.