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Finding the Fourth Proportional to 1,517.50, 2,276.00 and 530.46

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Solution

The fourth proportional to 1,517.50, 2,276.00 and 530.46 is: 795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.50 : 2,276.00 = 530.46 : x
  2. Step 2: Convert to fraction form
    1,517.50/2,276.00 = 530.46/x
  3. Step 3: Cross multiply
    1,517.50x = 2,276.00 × 530.46
  4. Step 4: Simplify right side
    1,517.50x = 1,207,312.93
  5. Step 5: Solve for x
    x = 1,207,312.93/1,517.50
  6. Step 6: Final answer
    x = 795.59

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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.