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Finding the Fourth Proportional to 1,055.40, 1,574.92 and 927.40

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Solution

The fourth proportional to 1,055.40, 1,574.92 and 927.40 is: 1,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.40 : 1,574.92 = 927.40 : x
  2. Step 2: Convert to fraction form
    1,055.40/1,574.92 = 927.40/x
  3. Step 3: Cross multiply
    1,055.40x = 1,574.92 × 927.40
  4. Step 4: Simplify right side
    1,055.40x = 1,460,580.81
  5. Step 5: Solve for x
    x = 1,460,580.81/1,055.40
  6. Step 6: Final answer
    x = 1,383.91

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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.