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Finding the Fourth Proportional to 1,006.55, 1,509.94 and 313.25

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Solution

The fourth proportional to 1,006.55, 1,509.94 and 313.25 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.55 : 1,509.94 = 313.25 : x
  2. Step 2: Convert to fraction form
    1,006.55/1,509.94 = 313.25/x
  3. Step 3: Cross multiply
    1,006.55x = 1,509.94 × 313.25
  4. Step 4: Simplify right side
    1,006.55x = 472,988.71
  5. Step 5: Solve for x
    x = 472,988.71/1,006.55
  6. Step 6: Final answer
    x = 469.91

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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.