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Finding the Fourth Proportional to 876.54, 1,312.65 and 510.22

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Solution

The fourth proportional to 876.54, 1,312.65 and 510.22 is: 764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.54 : 1,312.65 = 510.22 : x
  2. Step 2: Convert to fraction form
    876.54/1,312.65 = 510.22/x
  3. Step 3: Cross multiply
    876.54x = 1,312.65 × 510.22
  4. Step 4: Simplify right side
    876.54x = 669,740.28
  5. Step 5: Solve for x
    x = 669,740.28/876.54
  6. Step 6: Final answer
    x = 764.07

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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.