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Finding the Fourth Proportional to 1,184.81, 1,776.93 and 526.32

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Solution

The fourth proportional to 1,184.81, 1,776.93 and 526.32 is: 789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.81 : 1,776.93 = 526.32 : x
  2. Step 2: Convert to fraction form
    1,184.81/1,776.93 = 526.32/x
  3. Step 3: Cross multiply
    1,184.81x = 1,776.93 × 526.32
  4. Step 4: Simplify right side
    1,184.81x = 935,233.80
  5. Step 5: Solve for x
    x = 935,233.80/1,184.81
  6. Step 6: Final answer
    x = 789.35

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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.