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Finding the Fourth Proportional to 1,528.90, 2,293.53 and 554.74

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Solution

The fourth proportional to 1,528.90, 2,293.53 and 554.74 is: 832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.90 : 2,293.53 = 554.74 : x
  2. Step 2: Convert to fraction form
    1,528.90/2,293.53 = 554.74/x
  3. Step 3: Cross multiply
    1,528.90x = 2,293.53 × 554.74
  4. Step 4: Simplify right side
    1,528.90x = 1,272,312.83
  5. Step 5: Solve for x
    x = 1,272,312.83/1,528.90
  6. Step 6: Final answer
    x = 832.18

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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.