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Finding the Fourth Proportional to 1,345.02, 1,856.35 and 820.95

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Solution

The fourth proportional to 1,345.02, 1,856.35 and 820.95 is: 1,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.02 : 1,856.35 = 820.95 : x
  2. Step 2: Convert to fraction form
    1,345.02/1,856.35 = 820.95/x
  3. Step 3: Cross multiply
    1,345.02x = 1,856.35 × 820.95
  4. Step 4: Simplify right side
    1,345.02x = 1,523,970.53
  5. Step 5: Solve for x
    x = 1,523,970.53/1,345.02
  6. Step 6: Final answer
    x = 1,133.05

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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.