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Finding the Fourth Proportional to 1,055.36, 1,583.76 and 542.72

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Solution

The fourth proportional to 1,055.36, 1,583.76 and 542.72 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.36 : 1,583.76 = 542.72 : x
  2. Step 2: Convert to fraction form
    1,055.36/1,583.76 = 542.72/x
  3. Step 3: Cross multiply
    1,055.36x = 1,583.76 × 542.72
  4. Step 4: Simplify right side
    1,055.36x = 859,538.23
  5. Step 5: Solve for x
    x = 859,538.23/1,055.36
  6. Step 6: Final answer
    x = 814.45

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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.