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Finding the Fourth Proportional to 898.79, 1,347.86 and 350.91

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Solution

The fourth proportional to 898.79, 1,347.86 and 350.91 is: 526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.79 : 1,347.86 = 350.91 : x
  2. Step 2: Convert to fraction form
    898.79/1,347.86 = 350.91/x
  3. Step 3: Cross multiply
    898.79x = 1,347.86 × 350.91
  4. Step 4: Simplify right side
    898.79x = 472,978.43
  5. Step 5: Solve for x
    x = 472,978.43/898.79
  6. Step 6: Final answer
    x = 526.24

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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.