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Finding the Fourth Proportional to 1,006.30, 1,509.74 and 357.10

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Solution

The fourth proportional to 1,006.30, 1,509.74 and 357.10 is: 535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.30 : 1,509.74 = 357.10 : x
  2. Step 2: Convert to fraction form
    1,006.30/1,509.74 = 357.10/x
  3. Step 3: Cross multiply
    1,006.30x = 1,509.74 × 357.10
  4. Step 4: Simplify right side
    1,006.30x = 539,126.37
  5. Step 5: Solve for x
    x = 539,126.37/1,006.30
  6. Step 6: Final answer
    x = 535.75

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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.