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Finding the Fourth Proportional to 1,024.88, 1,413.56 and 631.76

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Solution

The fourth proportional to 1,024.88, 1,413.56 and 631.76 is: 871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.88 : 1,413.56 = 631.76 : x
  2. Step 2: Convert to fraction form
    1,024.88/1,413.56 = 631.76/x
  3. Step 3: Cross multiply
    1,024.88x = 1,413.56 × 631.76
  4. Step 4: Simplify right side
    1,024.88x = 893,030.67
  5. Step 5: Solve for x
    x = 893,030.67/1,024.88
  6. Step 6: Final answer
    x = 871.35

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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.