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Finding the Fourth Proportional to 1,064.99, 1,595.47 and 603.10

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Solution

The fourth proportional to 1,064.99, 1,595.47 and 603.10 is: 903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.99 : 1,595.47 = 603.10 : x
  2. Step 2: Convert to fraction form
    1,064.99/1,595.47 = 603.10/x
  3. Step 3: Cross multiply
    1,064.99x = 1,595.47 × 603.10
  4. Step 4: Simplify right side
    1,064.99x = 962,229.03
  5. Step 5: Solve for x
    x = 962,229.03/1,064.99
  6. Step 6: Final answer
    x = 903.51

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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.