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Finding the Fourth Proportional to 1,035.99, 1,429.86 and 594.18

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Solution

The fourth proportional to 1,035.99, 1,429.86 and 594.18 is: 820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.99 : 1,429.86 = 594.18 : x
  2. Step 2: Convert to fraction form
    1,035.99/1,429.86 = 594.18/x
  3. Step 3: Cross multiply
    1,035.99x = 1,429.86 × 594.18
  4. Step 4: Simplify right side
    1,035.99x = 849,594.21
  5. Step 5: Solve for x
    x = 849,594.21/1,035.99
  6. Step 6: Final answer
    x = 820.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.