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Finding the Fourth Proportional to 1,303.21, 1,953.95 and 718.49

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Solution

The fourth proportional to 1,303.21, 1,953.95 and 718.49 is: 1,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.21 : 1,953.95 = 718.49 : x
  2. Step 2: Convert to fraction form
    1,303.21/1,953.95 = 718.49/x
  3. Step 3: Cross multiply
    1,303.21x = 1,953.95 × 718.49
  4. Step 4: Simplify right side
    1,303.21x = 1,403,897.52
  5. Step 5: Solve for x
    x = 1,403,897.52/1,303.21
  6. Step 6: Final answer
    x = 1,077.26

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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.