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Finding the Fourth Proportional to 1,042.16, 1,556.98 and 973.86

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Solution

The fourth proportional to 1,042.16, 1,556.98 and 973.86 is: 1,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.16 : 1,556.98 = 973.86 : x
  2. Step 2: Convert to fraction form
    1,042.16/1,556.98 = 973.86/x
  3. Step 3: Cross multiply
    1,042.16x = 1,556.98 × 973.86
  4. Step 4: Simplify right side
    1,042.16x = 1,516,280.54
  5. Step 5: Solve for x
    x = 1,516,280.54/1,042.16
  6. Step 6: Final answer
    x = 1,454.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.