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Finding the Fourth Proportional to 1,113.30, 1,535.31 and 948.06

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Solution

The fourth proportional to 1,113.30, 1,535.31 and 948.06 is: 1,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.30 : 1,535.31 = 948.06 : x
  2. Step 2: Convert to fraction form
    1,113.30/1,535.31 = 948.06/x
  3. Step 3: Cross multiply
    1,113.30x = 1,535.31 × 948.06
  4. Step 4: Simplify right side
    1,113.30x = 1,455,566.00
  5. Step 5: Solve for x
    x = 1,455,566.00/1,113.30
  6. Step 6: Final answer
    x = 1,307.43

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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.