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Finding the Fourth Proportional to 1,214.96, 1,822.80 and 598.88

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Solution

The fourth proportional to 1,214.96, 1,822.80 and 598.88 is: 898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.96 : 1,822.80 = 598.88 : x
  2. Step 2: Convert to fraction form
    1,214.96/1,822.80 = 598.88/x
  3. Step 3: Cross multiply
    1,214.96x = 1,822.80 × 598.88
  4. Step 4: Simplify right side
    1,214.96x = 1,091,638.46
  5. Step 5: Solve for x
    x = 1,091,638.46/1,214.96
  6. Step 6: Final answer
    x = 898.50

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1.5x scale

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.