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Finding the Fourth Proportional to 1,036.90, 1,430.98 and 571.14

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Solution

The fourth proportional to 1,036.90, 1,430.98 and 571.14 is: 788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.90 : 1,430.98 = 571.14 : x
  2. Step 2: Convert to fraction form
    1,036.90/1,430.98 = 571.14/x
  3. Step 3: Cross multiply
    1,036.90x = 1,430.98 × 571.14
  4. Step 4: Simplify right side
    1,036.90x = 817,289.92
  5. Step 5: Solve for x
    x = 817,289.92/1,036.90
  6. Step 6: Final answer
    x = 788.21

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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.