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Finding the Fourth Proportional to 973.79, 1,461.56 and 710.48

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Solution

The fourth proportional to 973.79, 1,461.56 and 710.48 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.79 : 1,461.56 = 710.48 : x
  2. Step 2: Convert to fraction form
    973.79/1,461.56 = 710.48/x
  3. Step 3: Cross multiply
    973.79x = 1,461.56 × 710.48
  4. Step 4: Simplify right side
    973.79x = 1,038,398.29
  5. Step 5: Solve for x
    x = 1,038,398.29/973.79
  6. Step 6: Final answer
    x = 1,066.35

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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.