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Finding the Fourth Proportional to 1,026.04, 1,415.70 and 695.08

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Solution

The fourth proportional to 1,026.04, 1,415.70 and 695.08 is: 959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.04 : 1,415.70 = 695.08 : x
  2. Step 2: Convert to fraction form
    1,026.04/1,415.70 = 695.08/x
  3. Step 3: Cross multiply
    1,026.04x = 1,415.70 × 695.08
  4. Step 4: Simplify right side
    1,026.04x = 984,024.76
  5. Step 5: Solve for x
    x = 984,024.76/1,026.04
  6. Step 6: Final answer
    x = 959.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.