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Finding the Fourth Proportional to 1,058.78, 1,588.35 and 328.40

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Solution

The fourth proportional to 1,058.78, 1,588.35 and 328.40 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.78 : 1,588.35 = 328.40 : x
  2. Step 2: Convert to fraction form
    1,058.78/1,588.35 = 328.40/x
  3. Step 3: Cross multiply
    1,058.78x = 1,588.35 × 328.40
  4. Step 4: Simplify right side
    1,058.78x = 521,614.14
  5. Step 5: Solve for x
    x = 521,614.14/1,058.78
  6. Step 6: Final answer
    x = 492.66

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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.