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Finding the Fourth Proportional to 1,006.49, 1,509.26 and 595.68

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Solution

The fourth proportional to 1,006.49, 1,509.26 and 595.68 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.49 : 1,509.26 = 595.68 : x
  2. Step 2: Convert to fraction form
    1,006.49/1,509.26 = 595.68/x
  3. Step 3: Cross multiply
    1,006.49x = 1,509.26 × 595.68
  4. Step 4: Simplify right side
    1,006.49x = 899,033.02
  5. Step 5: Solve for x
    x = 899,033.02/1,006.49
  6. Step 6: Final answer
    x = 893.24

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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.