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Finding the Fourth Proportional to 1,038.24, 1,431.83 and 707.11

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Solution

The fourth proportional to 1,038.24, 1,431.83 and 707.11 is: 975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.24 : 1,431.83 = 707.11 : x
  2. Step 2: Convert to fraction form
    1,038.24/1,431.83 = 707.11/x
  3. Step 3: Cross multiply
    1,038.24x = 1,431.83 × 707.11
  4. Step 4: Simplify right side
    1,038.24x = 1,012,459.50
  5. Step 5: Solve for x
    x = 1,012,459.50/1,038.24
  6. Step 6: Final answer
    x = 975.17

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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.