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Finding the Fourth Proportional to 1,574.60, 2,360.16 and 649.65

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Solution

The fourth proportional to 1,574.60, 2,360.16 and 649.65 is: 973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.60 : 2,360.16 = 649.65 : x
  2. Step 2: Convert to fraction form
    1,574.60/2,360.16 = 649.65/x
  3. Step 3: Cross multiply
    1,574.60x = 2,360.16 × 649.65
  4. Step 4: Simplify right side
    1,574.60x = 1,533,273.67
  5. Step 5: Solve for x
    x = 1,533,273.67/1,574.60
  6. Step 6: Final answer
    x = 973.76

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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.