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Finding the Fourth Proportional to 1,018.16, 1,525.98 and 469.58

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Solution

The fourth proportional to 1,018.16, 1,525.98 and 469.58 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.16 : 1,525.98 = 469.58 : x
  2. Step 2: Convert to fraction form
    1,018.16/1,525.98 = 469.58/x
  3. Step 3: Cross multiply
    1,018.16x = 1,525.98 × 469.58
  4. Step 4: Simplify right side
    1,018.16x = 716,569.69
  5. Step 5: Solve for x
    x = 716,569.69/1,018.16
  6. Step 6: Final answer
    x = 703.79

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