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Finding the Fourth Proportional to 1,261.17, 1,891.45 and 530.35

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Solution

The fourth proportional to 1,261.17, 1,891.45 and 530.35 is: 795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.17 : 1,891.45 = 530.35 : x
  2. Step 2: Convert to fraction form
    1,261.17/1,891.45 = 530.35/x
  3. Step 3: Cross multiply
    1,261.17x = 1,891.45 × 530.35
  4. Step 4: Simplify right side
    1,261.17x = 1,003,126.44
  5. Step 5: Solve for x
    x = 1,003,126.44/1,261.17
  6. Step 6: Final answer
    x = 795.39

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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.