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Finding the Fourth Proportional to 1,033.02, 1,547.06 and 598.86

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Solution

The fourth proportional to 1,033.02, 1,547.06 and 598.86 is: 896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.02 : 1,547.06 = 598.86 : x
  2. Step 2: Convert to fraction form
    1,033.02/1,547.06 = 598.86/x
  3. Step 3: Cross multiply
    1,033.02x = 1,547.06 × 598.86
  4. Step 4: Simplify right side
    1,033.02x = 926,469.36
  5. Step 5: Solve for x
    x = 926,469.36/1,033.02
  6. Step 6: Final answer
    x = 896.86

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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.