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Finding the Fourth Proportional to 1,310.76, 1,965.54 and 530.12

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Solution

The fourth proportional to 1,310.76, 1,965.54 and 530.12 is: 794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.76 : 1,965.54 = 530.12 : x
  2. Step 2: Convert to fraction form
    1,310.76/1,965.54 = 530.12/x
  3. Step 3: Cross multiply
    1,310.76x = 1,965.54 × 530.12
  4. Step 4: Simplify right side
    1,310.76x = 1,041,972.06
  5. Step 5: Solve for x
    x = 1,041,972.06/1,310.76
  6. Step 6: Final answer
    x = 794.94

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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.