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Finding the Fourth Proportional to 1,102.10, 1,653.15 and 896.90

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Solution

The fourth proportional to 1,102.10, 1,653.15 and 896.90 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.10 : 1,653.15 = 896.90 : x
  2. Step 2: Convert to fraction form
    1,102.10/1,653.15 = 896.90/x
  3. Step 3: Cross multiply
    1,102.10x = 1,653.15 × 896.90
  4. Step 4: Simplify right side
    1,102.10x = 1,482,710.24
  5. Step 5: Solve for x
    x = 1,482,710.24/1,102.10
  6. Step 6: Final answer
    x = 1,345.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.