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Finding the Fourth Proportional to 1,026.18, 1,415.58 and 652.50

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Solution

The fourth proportional to 1,026.18, 1,415.58 and 652.50 is: 900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.18 : 1,415.58 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,026.18/1,415.58 = 652.50/x
  3. Step 3: Cross multiply
    1,026.18x = 1,415.58 × 652.50
  4. Step 4: Simplify right side
    1,026.18x = 923,665.95
  5. Step 5: Solve for x
    x = 923,665.95/1,026.18
  6. Step 6: Final answer
    x = 900.10

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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.