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Finding the Fourth Proportional to 898.10, 1,345.35 and 459.33

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Solution

The fourth proportional to 898.10, 1,345.35 and 459.33 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.10 : 1,345.35 = 459.33 : x
  2. Step 2: Convert to fraction form
    898.10/1,345.35 = 459.33/x
  3. Step 3: Cross multiply
    898.10x = 1,345.35 × 459.33
  4. Step 4: Simplify right side
    898.10x = 617,959.62
  5. Step 5: Solve for x
    x = 617,959.62/898.10
  6. Step 6: Final answer
    x = 688.07

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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.