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Finding the Fourth Proportional to 1,045.84, 1,442.55 and 673.29

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Solution

The fourth proportional to 1,045.84, 1,442.55 and 673.29 is: 928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.84 : 1,442.55 = 673.29 : x
  2. Step 2: Convert to fraction form
    1,045.84/1,442.55 = 673.29/x
  3. Step 3: Cross multiply
    1,045.84x = 1,442.55 × 673.29
  4. Step 4: Simplify right side
    1,045.84x = 971,254.49
  5. Step 5: Solve for x
    x = 971,254.49/1,045.84
  6. Step 6: Final answer
    x = 928.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.