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Finding the Fourth Proportional to 1,094.96, 1,511.06 and 653.12

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Solution

The fourth proportional to 1,094.96, 1,511.06 and 653.12 is: 901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.96 : 1,511.06 = 653.12 : x
  2. Step 2: Convert to fraction form
    1,094.96/1,511.06 = 653.12/x
  3. Step 3: Cross multiply
    1,094.96x = 1,511.06 × 653.12
  4. Step 4: Simplify right side
    1,094.96x = 986,905.14
  5. Step 5: Solve for x
    x = 986,905.14/1,094.96
  6. Step 6: Final answer
    x = 901.32

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1.5x scale

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.