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Finding the Fourth Proportional to 1,018.47, 1,404.75 and 663.75

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Solution

The fourth proportional to 1,018.47, 1,404.75 and 663.75 is: 915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.47 : 1,404.75 = 663.75 : x
  2. Step 2: Convert to fraction form
    1,018.47/1,404.75 = 663.75/x
  3. Step 3: Cross multiply
    1,018.47x = 1,404.75 × 663.75
  4. Step 4: Simplify right side
    1,018.47x = 932,402.81
  5. Step 5: Solve for x
    x = 932,402.81/1,018.47
  6. Step 6: Final answer
    x = 915.49

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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.