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Finding the Fourth Proportional to 1,056.83, 1,585.23 and 287.33

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Solution

The fourth proportional to 1,056.83, 1,585.23 and 287.33 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.83 : 1,585.23 = 287.33 : x
  2. Step 2: Convert to fraction form
    1,056.83/1,585.23 = 287.33/x
  3. Step 3: Cross multiply
    1,056.83x = 1,585.23 × 287.33
  4. Step 4: Simplify right side
    1,056.83x = 455,484.14
  5. Step 5: Solve for x
    x = 455,484.14/1,056.83
  6. Step 6: Final answer
    x = 430.99

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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.