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Finding the Fourth Proportional to 1,357.19, 2,034.55 and 491.30

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Solution

The fourth proportional to 1,357.19, 2,034.55 and 491.30 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.19 : 2,034.55 = 491.30 : x
  2. Step 2: Convert to fraction form
    1,357.19/2,034.55 = 491.30/x
  3. Step 3: Cross multiply
    1,357.19x = 2,034.55 × 491.30
  4. Step 4: Simplify right side
    1,357.19x = 999,574.42
  5. Step 5: Solve for x
    x = 999,574.42/1,357.19
  6. Step 6: Final answer
    x = 736.50

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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.