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Finding the Fourth Proportional to 1,709.92, 2,564.16 and 598.96

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Solution

The fourth proportional to 1,709.92, 2,564.16 and 598.96 is: 898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.92 : 2,564.16 = 598.96 : x
  2. Step 2: Convert to fraction form
    1,709.92/2,564.16 = 598.96/x
  3. Step 3: Cross multiply
    1,709.92x = 2,564.16 × 598.96
  4. Step 4: Simplify right side
    1,709.92x = 1,535,829.27
  5. Step 5: Solve for x
    x = 1,535,829.27/1,709.92
  6. Step 6: Final answer
    x = 898.19

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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.