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Finding the Fourth Proportional to 1,310.51, 1,966.14 and 530.11

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Solution

The fourth proportional to 1,310.51, 1,966.14 and 530.11 is: 795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.51 : 1,966.14 = 530.11 : x
  2. Step 2: Convert to fraction form
    1,310.51/1,966.14 = 530.11/x
  3. Step 3: Cross multiply
    1,310.51x = 1,966.14 × 530.11
  4. Step 4: Simplify right side
    1,310.51x = 1,042,270.48
  5. Step 5: Solve for x
    x = 1,042,270.48/1,310.51
  6. Step 6: Final answer
    x = 795.32

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