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Finding the Fourth Proportional to 1,112.84, 1,535.46 and 670.76

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Solution

The fourth proportional to 1,112.84, 1,535.46 and 670.76 is: 925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.84 : 1,535.46 = 670.76 : x
  2. Step 2: Convert to fraction form
    1,112.84/1,535.46 = 670.76/x
  3. Step 3: Cross multiply
    1,112.84x = 1,535.46 × 670.76
  4. Step 4: Simplify right side
    1,112.84x = 1,029,925.15
  5. Step 5: Solve for x
    x = 1,029,925.15/1,112.84
  6. Step 6: Final answer
    x = 925.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.