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Finding the Fourth Proportional to 1,036.80, 1,430.74 and 571.04

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Solution

The fourth proportional to 1,036.80, 1,430.74 and 571.04 is: 788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.80 : 1,430.74 = 571.04 : x
  2. Step 2: Convert to fraction form
    1,036.80/1,430.74 = 571.04/x
  3. Step 3: Cross multiply
    1,036.80x = 1,430.74 × 571.04
  4. Step 4: Simplify right side
    1,036.80x = 817,009.77
  5. Step 5: Solve for x
    x = 817,009.77/1,036.80
  6. Step 6: Final answer
    x = 788.01

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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.