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Finding the Fourth Proportional to 704.08, 1,050.17 and 595.12

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Solution

The fourth proportional to 704.08, 1,050.17 and 595.12 is: 887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 1,050.17 = 595.12 : x
  2. Step 2: Convert to fraction form
    704.08/1,050.17 = 595.12/x
  3. Step 3: Cross multiply
    704.08x = 1,050.17 × 595.12
  4. Step 4: Simplify right side
    704.08x = 624,977.17
  5. Step 5: Solve for x
    x = 624,977.17/704.08
  6. Step 6: Final answer
    x = 887.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.