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Finding the Fourth Proportional to 1,097.18, 1,513.02 and 703.52

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Solution

The fourth proportional to 1,097.18, 1,513.02 and 703.52 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.18 : 1,513.02 = 703.52 : x
  2. Step 2: Convert to fraction form
    1,097.18/1,513.02 = 703.52/x
  3. Step 3: Cross multiply
    1,097.18x = 1,513.02 × 703.52
  4. Step 4: Simplify right side
    1,097.18x = 1,064,439.83
  5. Step 5: Solve for x
    x = 1,064,439.83/1,097.18
  6. Step 6: Final answer
    x = 970.16

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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.