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Finding the Fourth Proportional to 1,029.16, 1,420.10 and 586.94

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Solution

The fourth proportional to 1,029.16, 1,420.10 and 586.94 is: 809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.16 : 1,420.10 = 586.94 : x
  2. Step 2: Convert to fraction form
    1,029.16/1,420.10 = 586.94/x
  3. Step 3: Cross multiply
    1,029.16x = 1,420.10 × 586.94
  4. Step 4: Simplify right side
    1,029.16x = 833,513.49
  5. Step 5: Solve for x
    x = 833,513.49/1,029.16
  6. Step 6: Final answer
    x = 809.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.