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Finding the Fourth Proportional to 1,187.91, 1,782.07 and 530.03

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Solution

The fourth proportional to 1,187.91, 1,782.07 and 530.03 is: 795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.91 : 1,782.07 = 530.03 : x
  2. Step 2: Convert to fraction form
    1,187.91/1,782.07 = 530.03/x
  3. Step 3: Cross multiply
    1,187.91x = 1,782.07 × 530.03
  4. Step 4: Simplify right side
    1,187.91x = 944,553.69
  5. Step 5: Solve for x
    x = 944,553.69/1,187.91
  6. Step 6: Final answer
    x = 795.14

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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.