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Finding the Fourth Proportional to 1,042.59, 1,564.29 and 465.06

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Solution

The fourth proportional to 1,042.59, 1,564.29 and 465.06 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,564.29 = 465.06 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,564.29 = 465.06/x
  3. Step 3: Cross multiply
    1,042.59x = 1,564.29 × 465.06
  4. Step 4: Simplify right side
    1,042.59x = 727,488.71
  5. Step 5: Solve for x
    x = 727,488.71/1,042.59
  6. Step 6: Final answer
    x = 697.77

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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.