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Finding the Fourth Proportional to 616.76, 848.96 and 537.93

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Solution

The fourth proportional to 616.76, 848.96 and 537.93 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 848.96 = 537.93 : x
  2. Step 2: Convert to fraction form
    616.76/848.96 = 537.93/x
  3. Step 3: Cross multiply
    616.76x = 848.96 × 537.93
  4. Step 4: Simplify right side
    616.76x = 456,682.40
  5. Step 5: Solve for x
    x = 456,682.40/616.76
  6. Step 6: Final answer
    x = 740.46

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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.