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Finding the Fourth Proportional to 1,058.38, 1,587.48 and 646.72

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Solution

The fourth proportional to 1,058.38, 1,587.48 and 646.72 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.38 : 1,587.48 = 646.72 : x
  2. Step 2: Convert to fraction form
    1,058.38/1,587.48 = 646.72/x
  3. Step 3: Cross multiply
    1,058.38x = 1,587.48 × 646.72
  4. Step 4: Simplify right side
    1,058.38x = 1,026,655.07
  5. Step 5: Solve for x
    x = 1,026,655.07/1,058.38
  6. Step 6: Final answer
    x = 970.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.