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Finding the Fourth Proportional to 1,030.53, 1,422.25 and 715.71

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Solution

The fourth proportional to 1,030.53, 1,422.25 and 715.71 is: 987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.53 : 1,422.25 = 715.71 : x
  2. Step 2: Convert to fraction form
    1,030.53/1,422.25 = 715.71/x
  3. Step 3: Cross multiply
    1,030.53x = 1,422.25 × 715.71
  4. Step 4: Simplify right side
    1,030.53x = 1,017,916.76
  5. Step 5: Solve for x
    x = 1,017,916.76/1,030.53
  6. Step 6: Final answer
    x = 987.76

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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.