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Finding the Fourth Proportional to 1,058.14, 1,585.84 and 509.34

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Solution

The fourth proportional to 1,058.14, 1,585.84 and 509.34 is: 763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.14 : 1,585.84 = 509.34 : x
  2. Step 2: Convert to fraction form
    1,058.14/1,585.84 = 509.34/x
  3. Step 3: Cross multiply
    1,058.14x = 1,585.84 × 509.34
  4. Step 4: Simplify right side
    1,058.14x = 807,731.75
  5. Step 5: Solve for x
    x = 807,731.75/1,058.14
  6. Step 6: Final answer
    x = 763.35

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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.