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Finding the Fourth Proportional to 1,010.04, 1,393.08 and 761.40

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Solution

The fourth proportional to 1,010.04, 1,393.08 and 761.40 is: 1,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.04 : 1,393.08 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,010.04/1,393.08 = 761.40/x
  3. Step 3: Cross multiply
    1,010.04x = 1,393.08 × 761.40
  4. Step 4: Simplify right side
    1,010.04x = 1,060,691.11
  5. Step 5: Solve for x
    x = 1,060,691.11/1,010.04
  6. Step 6: Final answer
    x = 1,050.15

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1.5x scale

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.