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Finding the Fourth Proportional to 1,041.98, 1,565.04 and 652.68

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Solution

The fourth proportional to 1,041.98, 1,565.04 and 652.68 is: 980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.98 : 1,565.04 = 652.68 : x
  2. Step 2: Convert to fraction form
    1,041.98/1,565.04 = 652.68/x
  3. Step 3: Cross multiply
    1,041.98x = 1,565.04 × 652.68
  4. Step 4: Simplify right side
    1,041.98x = 1,021,470.31
  5. Step 5: Solve for x
    x = 1,021,470.31/1,041.98
  6. Step 6: Final answer
    x = 980.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.