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Finding the Fourth Proportional to 1,032.35, 1,549.19 and 383.06

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Solution

The fourth proportional to 1,032.35, 1,549.19 and 383.06 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,549.19 = 383.06 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,549.19 = 383.06/x
  3. Step 3: Cross multiply
    1,032.35x = 1,549.19 × 383.06
  4. Step 4: Simplify right side
    1,032.35x = 593,437.55
  5. Step 5: Solve for x
    x = 593,437.55/1,032.35
  6. Step 6: Final answer
    x = 574.84

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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.