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Finding the Fourth Proportional to 1,062.80, 1,466.66 and 597.06

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Solution

The fourth proportional to 1,062.80, 1,466.66 and 597.06 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.80 : 1,466.66 = 597.06 : x
  2. Step 2: Convert to fraction form
    1,062.80/1,466.66 = 597.06/x
  3. Step 3: Cross multiply
    1,062.80x = 1,466.66 × 597.06
  4. Step 4: Simplify right side
    1,062.80x = 875,684.02
  5. Step 5: Solve for x
    x = 875,684.02/1,062.80
  6. Step 6: Final answer
    x = 823.94

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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.