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Finding the Fourth Proportional to 1,030.98, 1,422.66 and 588.88

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Solution

The fourth proportional to 1,030.98, 1,422.66 and 588.88 is: 812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.98 : 1,422.66 = 588.88 : x
  2. Step 2: Convert to fraction form
    1,030.98/1,422.66 = 588.88/x
  3. Step 3: Cross multiply
    1,030.98x = 1,422.66 × 588.88
  4. Step 4: Simplify right side
    1,030.98x = 837,776.02
  5. Step 5: Solve for x
    x = 837,776.02/1,030.98
  6. Step 6: Final answer
    x = 812.60

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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.