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Finding the Fourth Proportional to 1,096.59, 1,637.65 and 975.63

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Solution

The fourth proportional to 1,096.59, 1,637.65 and 975.63 is: 1,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.59 : 1,637.65 = 975.63 : x
  2. Step 2: Convert to fraction form
    1,096.59/1,637.65 = 975.63/x
  3. Step 3: Cross multiply
    1,096.59x = 1,637.65 × 975.63
  4. Step 4: Simplify right side
    1,096.59x = 1,597,740.47
  5. Step 5: Solve for x
    x = 1,597,740.47/1,096.59
  6. Step 6: Final answer
    x = 1,457.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.