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Finding the Fourth Proportional to 1,007.60, 1,511.59 and 349.45

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Solution

The fourth proportional to 1,007.60, 1,511.59 and 349.45 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.60 : 1,511.59 = 349.45 : x
  2. Step 2: Convert to fraction form
    1,007.60/1,511.59 = 349.45/x
  3. Step 3: Cross multiply
    1,007.60x = 1,511.59 × 349.45
  4. Step 4: Simplify right side
    1,007.60x = 528,216.98
  5. Step 5: Solve for x
    x = 528,216.98/1,007.60
  6. Step 6: Final answer
    x = 524.24

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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.