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Finding the Fourth Proportional to 898.08, 1,345.20 and 572.64

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Solution

The fourth proportional to 898.08, 1,345.20 and 572.64 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,345.20 = 572.64 : x
  2. Step 2: Convert to fraction form
    898.08/1,345.20 = 572.64/x
  3. Step 3: Cross multiply
    898.08x = 1,345.20 × 572.64
  4. Step 4: Simplify right side
    898.08x = 770,315.33
  5. Step 5: Solve for x
    x = 770,315.33/898.08
  6. Step 6: Final answer
    x = 857.74

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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.