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Finding the Fourth Proportional to 1,117.32, 1,675.21 and 424.03

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Solution

The fourth proportional to 1,117.32, 1,675.21 and 424.03 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.32 : 1,675.21 = 424.03 : x
  2. Step 2: Convert to fraction form
    1,117.32/1,675.21 = 424.03/x
  3. Step 3: Cross multiply
    1,117.32x = 1,675.21 × 424.03
  4. Step 4: Simplify right side
    1,117.32x = 710,337.18
  5. Step 5: Solve for x
    x = 710,337.18/1,117.32
  6. Step 6: Final answer
    x = 635.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.