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Finding the Fourth Proportional to 1,188.39, 1,783.15 and 530.20

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Solution

The fourth proportional to 1,188.39, 1,783.15 and 530.20 is: 795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.39 : 1,783.15 = 530.20 : x
  2. Step 2: Convert to fraction form
    1,188.39/1,783.15 = 530.20/x
  3. Step 3: Cross multiply
    1,188.39x = 1,783.15 × 530.20
  4. Step 4: Simplify right side
    1,188.39x = 945,424.35
  5. Step 5: Solve for x
    x = 945,424.35/1,188.39
  6. Step 6: Final answer
    x = 795.55

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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.