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Finding the Fourth Proportional to 1,242.23, 1,862.63 and 510.93

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Solution

The fourth proportional to 1,242.23, 1,862.63 and 510.93 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.23 : 1,862.63 = 510.93 : x
  2. Step 2: Convert to fraction form
    1,242.23/1,862.63 = 510.93/x
  3. Step 3: Cross multiply
    1,242.23x = 1,862.63 × 510.93
  4. Step 4: Simplify right side
    1,242.23x = 951,672.91
  5. Step 5: Solve for x
    x = 951,672.91/1,242.23
  6. Step 6: Final answer
    x = 766.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.