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Finding the Fourth Proportional to 1,573.90, 2,360.48 and 695.93

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Solution

The fourth proportional to 1,573.90, 2,360.48 and 695.93 is: 1,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.90 : 2,360.48 = 695.93 : x
  2. Step 2: Convert to fraction form
    1,573.90/2,360.48 = 695.93/x
  3. Step 3: Cross multiply
    1,573.90x = 2,360.48 × 695.93
  4. Step 4: Simplify right side
    1,573.90x = 1,642,719.44
  5. Step 5: Solve for x
    x = 1,642,719.44/1,573.90
  6. Step 6: Final answer
    x = 1,043.72

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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.