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Finding the Fourth Proportional to 1,135.04, 1,702.08 and 354.83

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Solution

The fourth proportional to 1,135.04, 1,702.08 and 354.83 is: 532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.04 : 1,702.08 = 354.83 : x
  2. Step 2: Convert to fraction form
    1,135.04/1,702.08 = 354.83/x
  3. Step 3: Cross multiply
    1,135.04x = 1,702.08 × 354.83
  4. Step 4: Simplify right side
    1,135.04x = 603,952.71
  5. Step 5: Solve for x
    x = 603,952.71/1,135.04
  6. Step 6: Final answer
    x = 532.10

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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.