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Finding the Fourth Proportional to 1,030.18, 1,422.08 and 715.38

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Solution

The fourth proportional to 1,030.18, 1,422.08 and 715.38 is: 987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.18 : 1,422.08 = 715.38 : x
  2. Step 2: Convert to fraction form
    1,030.18/1,422.08 = 715.38/x
  3. Step 3: Cross multiply
    1,030.18x = 1,422.08 × 715.38
  4. Step 4: Simplify right side
    1,030.18x = 1,017,327.59
  5. Step 5: Solve for x
    x = 1,017,327.59/1,030.18
  6. Step 6: Final answer
    x = 987.52

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Why These Related Problems?

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