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Finding the Fourth Proportional to 1,029.10, 1,420.14 and 587

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Solution

The fourth proportional to 1,029.10, 1,420.14 and 587 is: 810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.10 : 1,420.14 = 587 : x
  2. Step 2: Convert to fraction form
    1,029.10/1,420.14 = 587/x
  3. Step 3: Cross multiply
    1,029.10x = 1,420.14 × 587
  4. Step 4: Simplify right side
    1,029.10x = 833,622.18
  5. Step 5: Solve for x
    x = 833,622.18/1,029.10
  6. Step 6: Final answer
    x = 810.05

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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.