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Finding the Fourth Proportional to 1,058.47, 1,460.70 and 586.40

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Solution

The fourth proportional to 1,058.47, 1,460.70 and 586.40 is: 809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.47 : 1,460.70 = 586.40 : x
  2. Step 2: Convert to fraction form
    1,058.47/1,460.70 = 586.40/x
  3. Step 3: Cross multiply
    1,058.47x = 1,460.70 × 586.40
  4. Step 4: Simplify right side
    1,058.47x = 856,554.48
  5. Step 5: Solve for x
    x = 856,554.48/1,058.47
  6. Step 6: Final answer
    x = 809.24

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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.