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Finding the Fourth Proportional to 1,556.07, 2,334.11 and 460.53

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Solution

The fourth proportional to 1,556.07, 2,334.11 and 460.53 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.07 : 2,334.11 = 460.53 : x
  2. Step 2: Convert to fraction form
    1,556.07/2,334.11 = 460.53/x
  3. Step 3: Cross multiply
    1,556.07x = 2,334.11 × 460.53
  4. Step 4: Simplify right side
    1,556.07x = 1,074,925.38
  5. Step 5: Solve for x
    x = 1,074,925.38/1,556.07
  6. Step 6: Final answer
    x = 690.80

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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.