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Finding the Fourth Proportional to 1,114.64, 1,662.40 and 1,056.32

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Solution

The fourth proportional to 1,114.64, 1,662.40 and 1,056.32 is: 1,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,662.40 = 1,056.32 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,662.40 = 1,056.32/x
  3. Step 3: Cross multiply
    1,114.64x = 1,662.40 × 1,056.32
  4. Step 4: Simplify right side
    1,114.64x = 1,756,026.37
  5. Step 5: Solve for x
    x = 1,756,026.37/1,114.64
  6. Step 6: Final answer
    x = 1,575.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.