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Finding the Fourth Proportional to 1,117.48, 1,664.42 and 1,058.93

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Solution

The fourth proportional to 1,117.48, 1,664.42 and 1,058.93 is: 1,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.48 : 1,664.42 = 1,058.93 : x
  2. Step 2: Convert to fraction form
    1,117.48/1,664.42 = 1,058.93/x
  3. Step 3: Cross multiply
    1,117.48x = 1,664.42 × 1,058.93
  4. Step 4: Simplify right side
    1,117.48x = 1,762,503.14
  5. Step 5: Solve for x
    x = 1,762,503.14/1,117.48
  6. Step 6: Final answer
    x = 1,577.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.