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Finding the Fourth Proportional to 1,006.24, 1,509.12 and 322.24

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Solution

The fourth proportional to 1,006.24, 1,509.12 and 322.24 is: 483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.24 : 1,509.12 = 322.24 : x
  2. Step 2: Convert to fraction form
    1,006.24/1,509.12 = 322.24/x
  3. Step 3: Cross multiply
    1,006.24x = 1,509.12 × 322.24
  4. Step 4: Simplify right side
    1,006.24x = 486,298.83
  5. Step 5: Solve for x
    x = 486,298.83/1,006.24
  6. Step 6: Final answer
    x = 483.28

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1.5x scale

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.