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Finding the Fourth Proportional to 1,126.67, 1,681.85 and 973.58

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Solution

The fourth proportional to 1,126.67, 1,681.85 and 973.58 is: 1,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.67 : 1,681.85 = 973.58 : x
  2. Step 2: Convert to fraction form
    1,126.67/1,681.85 = 973.58/x
  3. Step 3: Cross multiply
    1,126.67x = 1,681.85 × 973.58
  4. Step 4: Simplify right side
    1,126.67x = 1,637,409.55
  5. Step 5: Solve for x
    x = 1,637,409.55/1,126.67
  6. Step 6: Final answer
    x = 1,453.32

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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.