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Finding the Fourth Proportional to 1,030.74, 1,421.89 and 690.16

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Solution

The fourth proportional to 1,030.74, 1,421.89 and 690.16 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.74 : 1,421.89 = 690.16 : x
  2. Step 2: Convert to fraction form
    1,030.74/1,421.89 = 690.16/x
  3. Step 3: Cross multiply
    1,030.74x = 1,421.89 × 690.16
  4. Step 4: Simplify right side
    1,030.74x = 981,331.60
  5. Step 5: Solve for x
    x = 981,331.60/1,030.74
  6. Step 6: Final answer
    x = 952.07

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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.