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Finding the Fourth Proportional to 845.19, 1,165.86 and 508.99

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Solution

The fourth proportional to 845.19, 1,165.86 and 508.99 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.19 : 1,165.86 = 508.99 : x
  2. Step 2: Convert to fraction form
    845.19/1,165.86 = 508.99/x
  3. Step 3: Cross multiply
    845.19x = 1,165.86 × 508.99
  4. Step 4: Simplify right side
    845.19x = 593,408.17
  5. Step 5: Solve for x
    x = 593,408.17/845.19
  6. Step 6: Final answer
    x = 702.10

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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.