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Finding the Fourth Proportional to 1,058.63, 1,587.94 and 289.13

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Solution

The fourth proportional to 1,058.63, 1,587.94 and 289.13 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.63 : 1,587.94 = 289.13 : x
  2. Step 2: Convert to fraction form
    1,058.63/1,587.94 = 289.13/x
  3. Step 3: Cross multiply
    1,058.63x = 1,587.94 × 289.13
  4. Step 4: Simplify right side
    1,058.63x = 459,114.06
  5. Step 5: Solve for x
    x = 459,114.06/1,058.63
  6. Step 6: Final answer
    x = 433.69

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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.