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Finding the Fourth Proportional to 1,058.36, 1,587.06 and 976.28

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Solution

The fourth proportional to 1,058.36, 1,587.06 and 976.28 is: 1,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.36 : 1,587.06 = 976.28 : x
  2. Step 2: Convert to fraction form
    1,058.36/1,587.06 = 976.28/x
  3. Step 3: Cross multiply
    1,058.36x = 1,587.06 × 976.28
  4. Step 4: Simplify right side
    1,058.36x = 1,549,407.00
  5. Step 5: Solve for x
    x = 1,549,407.00/1,058.36
  6. Step 6: Final answer
    x = 1,463.98

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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.