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Finding the Fourth Proportional to 1,036.34, 1,430.10 and 570.60

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Solution

The fourth proportional to 1,036.34, 1,430.10 and 570.60 is: 787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.34 : 1,430.10 = 570.60 : x
  2. Step 2: Convert to fraction form
    1,036.34/1,430.10 = 570.60/x
  3. Step 3: Cross multiply
    1,036.34x = 1,430.10 × 570.60
  4. Step 4: Simplify right side
    1,036.34x = 816,015.06
  5. Step 5: Solve for x
    x = 816,015.06/1,036.34
  6. Step 6: Final answer
    x = 787.40

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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.