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Finding the Fourth Proportional to 1,140.42, 1,710.81 and 491.16

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Solution

The fourth proportional to 1,140.42, 1,710.81 and 491.16 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.42 : 1,710.81 = 491.16 : x
  2. Step 2: Convert to fraction form
    1,140.42/1,710.81 = 491.16/x
  3. Step 3: Cross multiply
    1,140.42x = 1,710.81 × 491.16
  4. Step 4: Simplify right side
    1,140.42x = 840,281.44
  5. Step 5: Solve for x
    x = 840,281.44/1,140.42
  6. Step 6: Final answer
    x = 736.82

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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.