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Finding the Fourth Proportional to 780.36, 1,077.32 and 570.32

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Solution

The fourth proportional to 780.36, 1,077.32 and 570.32 is: 787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.36 : 1,077.32 = 570.32 : x
  2. Step 2: Convert to fraction form
    780.36/1,077.32 = 570.32/x
  3. Step 3: Cross multiply
    780.36x = 1,077.32 × 570.32
  4. Step 4: Simplify right side
    780.36x = 614,417.14
  5. Step 5: Solve for x
    x = 614,417.14/780.36
  6. Step 6: Final answer
    x = 787.35

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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.