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Finding the Fourth Proportional to 1,111.07, 1,533.42 and 924.23

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Solution

The fourth proportional to 1,111.07, 1,533.42 and 924.23 is: 1,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.07 : 1,533.42 = 924.23 : x
  2. Step 2: Convert to fraction form
    1,111.07/1,533.42 = 924.23/x
  3. Step 3: Cross multiply
    1,111.07x = 1,533.42 × 924.23
  4. Step 4: Simplify right side
    1,111.07x = 1,417,236.60
  5. Step 5: Solve for x
    x = 1,417,236.60/1,111.07
  6. Step 6: Final answer
    x = 1,275.56

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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.