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Finding the Fourth Proportional to 1,092.30, 1,510.29 and 953.96

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Solution

The fourth proportional to 1,092.30, 1,510.29 and 953.96 is: 1,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.30 : 1,510.29 = 953.96 : x
  2. Step 2: Convert to fraction form
    1,092.30/1,510.29 = 953.96/x
  3. Step 3: Cross multiply
    1,092.30x = 1,510.29 × 953.96
  4. Step 4: Simplify right side
    1,092.30x = 1,440,748.70
  5. Step 5: Solve for x
    x = 1,440,748.70/1,092.30
  6. Step 6: Final answer
    x = 1,319.00

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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.