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Finding the Fourth Proportional to 1,030.37, 1,421.90 and 564.62

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Solution

The fourth proportional to 1,030.37, 1,421.90 and 564.62 is: 779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.37 : 1,421.90 = 564.62 : x
  2. Step 2: Convert to fraction form
    1,030.37/1,421.90 = 564.62/x
  3. Step 3: Cross multiply
    1,030.37x = 1,421.90 × 564.62
  4. Step 4: Simplify right side
    1,030.37x = 802,823.25
  5. Step 5: Solve for x
    x = 802,823.25/1,030.37
  6. Step 6: Final answer
    x = 779.16

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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.