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Finding the Fourth Proportional to 875.23, 1,312.44 and 510.12

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Solution

The fourth proportional to 875.23, 1,312.44 and 510.12 is: 764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,312.44 = 510.12 : x
  2. Step 2: Convert to fraction form
    875.23/1,312.44 = 510.12/x
  3. Step 3: Cross multiply
    875.23x = 1,312.44 × 510.12
  4. Step 4: Simplify right side
    875.23x = 669,499.98
  5. Step 5: Solve for x
    x = 669,499.98/875.23
  6. Step 6: Final answer
    x = 764.94

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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.