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Finding the Fourth Proportional to 1,007.43, 1,510.53 and 921.48

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Solution

The fourth proportional to 1,007.43, 1,510.53 and 921.48 is: 1,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.43 : 1,510.53 = 921.48 : x
  2. Step 2: Convert to fraction form
    1,007.43/1,510.53 = 921.48/x
  3. Step 3: Cross multiply
    1,007.43x = 1,510.53 × 921.48
  4. Step 4: Simplify right side
    1,007.43x = 1,391,925.39
  5. Step 5: Solve for x
    x = 1,391,925.39/1,007.43
  6. Step 6: Final answer
    x = 1,381.66

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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.