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Finding the Fourth Proportional to 1,062.88, 1,466.76 and 597.12

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Solution

The fourth proportional to 1,062.88, 1,466.76 and 597.12 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.88 : 1,466.76 = 597.12 : x
  2. Step 2: Convert to fraction form
    1,062.88/1,466.76 = 597.12/x
  3. Step 3: Cross multiply
    1,062.88x = 1,466.76 × 597.12
  4. Step 4: Simplify right side
    1,062.88x = 875,831.73
  5. Step 5: Solve for x
    x = 875,831.73/1,062.88
  6. Step 6: Final answer
    x = 824.02

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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.