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Finding the Fourth Proportional to 1,113.78, 1,670.40 and 497.15

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Solution

The fourth proportional to 1,113.78, 1,670.40 and 497.15 is: 745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.78 : 1,670.40 = 497.15 : x
  2. Step 2: Convert to fraction form
    1,113.78/1,670.40 = 497.15/x
  3. Step 3: Cross multiply
    1,113.78x = 1,670.40 × 497.15
  4. Step 4: Simplify right side
    1,113.78x = 830,437.27
  5. Step 5: Solve for x
    x = 830,437.27/1,113.78
  6. Step 6: Final answer
    x = 745.60

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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.