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Finding the Fourth Proportional to 1,029.51, 1,420.67 and 610.00

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Solution

The fourth proportional to 1,029.51, 1,420.67 and 610.00 is: 841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.51 : 1,420.67 = 610.00 : x
  2. Step 2: Convert to fraction form
    1,029.51/1,420.67 = 610.00/x
  3. Step 3: Cross multiply
    1,029.51x = 1,420.67 × 610.00
  4. Step 4: Simplify right side
    1,029.51x = 866,606.67
  5. Step 5: Solve for x
    x = 866,606.67/1,029.51
  6. Step 6: Final answer
    x = 841.77

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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.