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Finding the Fourth Proportional to 1,354.23, 2,030.47 and 532.58

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Solution

The fourth proportional to 1,354.23, 2,030.47 and 532.58 is: 798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.23 : 2,030.47 = 532.58 : x
  2. Step 2: Convert to fraction form
    1,354.23/2,030.47 = 532.58/x
  3. Step 3: Cross multiply
    1,354.23x = 2,030.47 × 532.58
  4. Step 4: Simplify right side
    1,354.23x = 1,081,387.71
  5. Step 5: Solve for x
    x = 1,081,387.71/1,354.23
  6. Step 6: Final answer
    x = 798.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.