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Finding the Fourth Proportional to 1,555.58, 2,332.69 and 501.14

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Solution

The fourth proportional to 1,555.58, 2,332.69 and 501.14 is: 751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.58 : 2,332.69 = 501.14 : x
  2. Step 2: Convert to fraction form
    1,555.58/2,332.69 = 501.14/x
  3. Step 3: Cross multiply
    1,555.58x = 2,332.69 × 501.14
  4. Step 4: Simplify right side
    1,555.58x = 1,169,004.27
  5. Step 5: Solve for x
    x = 1,169,004.27/1,555.58
  6. Step 6: Final answer
    x = 751.49

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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.