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Finding the Fourth Proportional to 1,030.20, 1,544.02 and 542.94

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Solution

The fourth proportional to 1,030.20, 1,544.02 and 542.94 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.20 : 1,544.02 = 542.94 : x
  2. Step 2: Convert to fraction form
    1,030.20/1,544.02 = 542.94/x
  3. Step 3: Cross multiply
    1,030.20x = 1,544.02 × 542.94
  4. Step 4: Simplify right side
    1,030.20x = 838,310.22
  5. Step 5: Solve for x
    x = 838,310.22/1,030.20
  6. Step 6: Final answer
    x = 813.74

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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.